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Finding the Fourth Proportional to 65,733.20, 98,599.80 and 54,652.40

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Solution

The fourth proportional to 65,733.20, 98,599.80 and 54,652.40 is: 81,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.20 : 98,599.80 = 54,652.40 : x
  2. Step 2: Convert to fraction form
    65,733.20/98,599.80 = 54,652.40/x
  3. Step 3: Cross multiply
    65,733.20x = 98,599.80 × 54,652.40
  4. Step 4: Simplify right side
    65,733.20x = 5,388,715,709.52
  5. Step 5: Solve for x
    x = 5,388,715,709.52/65,733.20
  6. Step 6: Final answer
    x = 81,978.60

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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.