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Finding the Fourth Proportional to 35,830.22, 49,448.76 and 19,914.26

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Solution

The fourth proportional to 35,830.22, 49,448.76 and 19,914.26 is: 27,483.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.22 : 49,448.76 = 19,914.26 : x
  2. Step 2: Convert to fraction form
    35,830.22/49,448.76 = 19,914.26/x
  3. Step 3: Cross multiply
    35,830.22x = 49,448.76 × 19,914.26
  4. Step 4: Simplify right side
    35,830.22x = 984,735,463.32
  5. Step 5: Solve for x
    x = 984,735,463.32/35,830.22
  6. Step 6: Final answer
    x = 27,483.38

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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.