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Finding the Fourth Proportional to 107,005.35, 160,470.17 and 31,088.10

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Solution

The fourth proportional to 107,005.35, 160,470.17 and 31,088.10 is: 46,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,005.35 : 160,470.17 = 31,088.10 : x
  2. Step 2: Convert to fraction form
    107,005.35/160,470.17 = 31,088.10/x
  3. Step 3: Cross multiply
    107,005.35x = 160,470.17 × 31,088.10
  4. Step 4: Simplify right side
    107,005.35x = 4,988,712,536.54
  5. Step 5: Solve for x
    x = 4,988,712,536.54/107,005.35
  6. Step 6: Final answer
    x = 46,621.15

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