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Finding the Fourth Proportional to 31,065.60, 42,874.32 and 17,641.08

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Solution

The fourth proportional to 31,065.60, 42,874.32 and 17,641.08 is: 24,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.60 : 42,874.32 = 17,641.08 : x
  2. Step 2: Convert to fraction form
    31,065.60/42,874.32 = 17,641.08/x
  3. Step 3: Cross multiply
    31,065.60x = 42,874.32 × 17,641.08
  4. Step 4: Simplify right side
    31,065.60x = 756,349,309.07
  5. Step 5: Solve for x
    x = 756,349,309.07/31,065.60
  6. Step 6: Final answer
    x = 24,346.84

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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.