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Finding the Fourth Proportional to 35,585.68, 49,106.44 and 19,669.68

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Solution

The fourth proportional to 35,585.68, 49,106.44 and 19,669.68 is: 27,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,585.68 : 49,106.44 = 19,669.68 : x
  2. Step 2: Convert to fraction form
    35,585.68/49,106.44 = 19,669.68/x
  3. Step 3: Cross multiply
    35,585.68x = 49,106.44 × 19,669.68
  4. Step 4: Simplify right side
    35,585.68x = 965,907,960.74
  5. Step 5: Solve for x
    x = 965,907,960.74/35,585.68
  6. Step 6: Final answer
    x = 27,143.16

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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.