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Finding the Fourth Proportional to 31,070.29, 42,878.07 and 17,641.10

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Solution

The fourth proportional to 31,070.29, 42,878.07 and 17,641.10 is: 24,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.29 : 42,878.07 = 17,641.10 : x
  2. Step 2: Convert to fraction form
    31,070.29/42,878.07 = 17,641.10/x
  3. Step 3: Cross multiply
    31,070.29x = 42,878.07 × 17,641.10
  4. Step 4: Simplify right side
    31,070.29x = 756,416,320.68
  5. Step 5: Solve for x
    x = 756,416,320.68/31,070.29
  6. Step 6: Final answer
    x = 24,345.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.