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Finding the Fourth Proportional to 35,978,106.30, 49,649,786.51 and 19,458,230.60

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Solution

The fourth proportional to 35,978,106.30, 49,649,786.51 and 19,458,230.60 is: 26,852,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978,106.30 : 49,649,786.51 = 19,458,230.60 : x
  2. Step 2: Convert to fraction form
    35,978,106.30/49,649,786.51 = 19,458,230.60/x
  3. Step 3: Cross multiply
    35,978,106.30x = 49,649,786.51 × 19,458,230.60
  4. Step 4: Simplify right side
    35,978,106.30x = 966,096,994,806,809.12
  5. Step 5: Solve for x
    x = 966,096,994,806,809.12/35,978,106.30
  6. Step 6: Final answer
    x = 26,852,358.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.