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Finding the Fourth Proportional to 98,269.52, 147,404.28 and 24,397.52

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Solution

The fourth proportional to 98,269.52, 147,404.28 and 24,397.52 is: 36,596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,269.52 : 147,404.28 = 24,397.52 : x
  2. Step 2: Convert to fraction form
    98,269.52/147,404.28 = 24,397.52/x
  3. Step 3: Cross multiply
    98,269.52x = 147,404.28 × 24,397.52
  4. Step 4: Simplify right side
    98,269.52x = 3,596,298,869.39
  5. Step 5: Solve for x
    x = 3,596,298,869.39/98,269.52
  6. Step 6: Final answer
    x = 36,596.28

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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.