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Finding the Fourth Proportional to 37,397.60, 56,082 and 12,773.60

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Solution

The fourth proportional to 37,397.60, 56,082 and 12,773.60 is: 19,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,397.60 : 56,082 = 12,773.60 : x
  2. Step 2: Convert to fraction form
    37,397.60/56,082 = 12,773.60/x
  3. Step 3: Cross multiply
    37,397.60x = 56,082 × 12,773.60
  4. Step 4: Simplify right side
    37,397.60x = 716,369,035.20
  5. Step 5: Solve for x
    x = 716,369,035.20/37,397.60
  6. Step 6: Final answer
    x = 19,155.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.