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Finding the Fourth Proportional to 37,540.64, 56,323.38 and 12,592.46

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Solution

The fourth proportional to 37,540.64, 56,323.38 and 12,592.46 is: 18,892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,540.64 : 56,323.38 = 12,592.46 : x
  2. Step 2: Convert to fraction form
    37,540.64/56,323.38 = 12,592.46/x
  3. Step 3: Cross multiply
    37,540.64x = 56,323.38 × 12,592.46
  4. Step 4: Simplify right side
    37,540.64x = 709,249,909.71
  5. Step 5: Solve for x
    x = 709,249,909.71/37,540.64
  6. Step 6: Final answer
    x = 18,892.86

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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.