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Finding the Fourth Proportional to 106,038.29, 159,053.29 and 35,917.61

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Solution

The fourth proportional to 106,038.29, 159,053.29 and 35,917.61 is: 53,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,038.29 : 159,053.29 = 35,917.61 : x
  2. Step 2: Convert to fraction form
    106,038.29/159,053.29 = 35,917.61/x
  3. Step 3: Cross multiply
    106,038.29x = 159,053.29 × 35,917.61
  4. Step 4: Simplify right side
    106,038.29x = 5,712,813,154.38
  5. Step 5: Solve for x
    x = 5,712,813,154.38/106,038.29
  6. Step 6: Final answer
    x = 53,875.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.