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Finding the Fourth Proportional to 46,654.87, 64,382.43 and 25,434.13

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Solution

The fourth proportional to 46,654.87, 64,382.43 and 25,434.13 is: 35,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.87 : 64,382.43 = 25,434.13 : x
  2. Step 2: Convert to fraction form
    46,654.87/64,382.43 = 25,434.13/x
  3. Step 3: Cross multiply
    46,654.87x = 64,382.43 × 25,434.13
  4. Step 4: Simplify right side
    46,654.87x = 1,637,510,772.42
  5. Step 5: Solve for x
    x = 1,637,510,772.42/46,654.87
  6. Step 6: Final answer
    x = 35,098.39

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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.