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Finding the Fourth Proportional to 65,893.52, 98,899.32 and 53,384.24

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Solution

The fourth proportional to 65,893.52, 98,899.32 and 53,384.24 is: 80,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,893.52 : 98,899.32 = 53,384.24 : x
  2. Step 2: Convert to fraction form
    65,893.52/98,899.32 = 53,384.24/x
  3. Step 3: Cross multiply
    65,893.52x = 98,899.32 × 53,384.24
  4. Step 4: Simplify right side
    65,893.52x = 5,279,665,034.72
  5. Step 5: Solve for x
    x = 5,279,665,034.72/65,893.52
  6. Step 6: Final answer
    x = 80,124.19

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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.