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Finding the Fourth Proportional to 84,732.16, 116,931.47 and 46,489.29

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Solution

The fourth proportional to 84,732.16, 116,931.47 and 46,489.29 is: 64,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732.16 : 116,931.47 = 46,489.29 : x
  2. Step 2: Convert to fraction form
    84,732.16/116,931.47 = 46,489.29/x
  3. Step 3: Cross multiply
    84,732.16x = 116,931.47 × 46,489.29
  4. Step 4: Simplify right side
    84,732.16x = 5,436,061,018.96
  5. Step 5: Solve for x
    x = 5,436,061,018.96/84,732.16
  6. Step 6: Final answer
    x = 64,155.82

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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.