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Finding the Fourth Proportional to 65,715.60, 98,443.80 and 37,981.20

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Solution

The fourth proportional to 65,715.60, 98,443.80 and 37,981.20 is: 56,896.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,715.60 : 98,443.80 = 37,981.20 : x
  2. Step 2: Convert to fraction form
    65,715.60/98,443.80 = 37,981.20/x
  3. Step 3: Cross multiply
    65,715.60x = 98,443.80 × 37,981.20
  4. Step 4: Simplify right side
    65,715.60x = 3,739,013,656.56
  5. Step 5: Solve for x
    x = 3,739,013,656.56/65,715.60
  6. Step 6: Final answer
    x = 56,896.90

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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.