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Finding the Fourth Proportional to 31,641.60, 43,663.64 and 17,493.50

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Solution

The fourth proportional to 31,641.60, 43,663.64 and 17,493.50 is: 24,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.60 : 43,663.64 = 17,493.50 : x
  2. Step 2: Convert to fraction form
    31,641.60/43,663.64 = 17,493.50/x
  3. Step 3: Cross multiply
    31,641.60x = 43,663.64 × 17,493.50
  4. Step 4: Simplify right side
    31,641.60x = 763,829,886.34
  5. Step 5: Solve for x
    x = 763,829,886.34/31,641.60
  6. Step 6: Final answer
    x = 24,140.05

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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.