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Finding the Fourth Proportional to 37,752.47, 56,654.22 and 14,378.30

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Solution

The fourth proportional to 37,752.47, 56,654.22 and 14,378.30 is: 21,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,752.47 : 56,654.22 = 14,378.30 : x
  2. Step 2: Convert to fraction form
    37,752.47/56,654.22 = 14,378.30/x
  3. Step 3: Cross multiply
    37,752.47x = 56,654.22 × 14,378.30
  4. Step 4: Simplify right side
    37,752.47x = 814,591,088.15
  5. Step 5: Solve for x
    x = 814,591,088.15/37,752.47
  6. Step 6: Final answer
    x = 21,577.16

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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.