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Finding the Fourth Proportional to 99,148.53, 148,724.72 and 24,269.33

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Solution

The fourth proportional to 99,148.53, 148,724.72 and 24,269.33 is: 36,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,148.53 : 148,724.72 = 24,269.33 : x
  2. Step 2: Convert to fraction form
    99,148.53/148,724.72 = 24,269.33/x
  3. Step 3: Cross multiply
    99,148.53x = 148,724.72 × 24,269.33
  4. Step 4: Simplify right side
    99,148.53x = 3,609,449,308.84
  5. Step 5: Solve for x
    x = 3,609,449,308.84/99,148.53
  6. Step 6: Final answer
    x = 36,404.47

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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.