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Finding the Fourth Proportional to 65,753.52, 98,644.86 and 19,002.84

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Solution

The fourth proportional to 65,753.52, 98,644.86 and 19,002.84 is: 28,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,753.52 : 98,644.86 = 19,002.84 : x
  2. Step 2: Convert to fraction form
    65,753.52/98,644.86 = 19,002.84/x
  3. Step 3: Cross multiply
    65,753.52x = 98,644.86 × 19,002.84
  4. Step 4: Simplify right side
    65,753.52x = 1,874,532,491.40
  5. Step 5: Solve for x
    x = 1,874,532,491.40/65,753.52
  6. Step 6: Final answer
    x = 28,508.47

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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.