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Finding the Fourth Proportional to 37,681.68, 56,522.76 and 9,601.80

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Solution

The fourth proportional to 37,681.68, 56,522.76 and 9,601.80 is: 14,402.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.68 : 56,522.76 = 9,601.80 : x
  2. Step 2: Convert to fraction form
    37,681.68/56,522.76 = 9,601.80/x
  3. Step 3: Cross multiply
    37,681.68x = 56,522.76 × 9,601.80
  4. Step 4: Simplify right side
    37,681.68x = 542,720,236.97
  5. Step 5: Solve for x
    x = 542,720,236.97/37,681.68
  6. Step 6: Final answer
    x = 14,402.76

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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.