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Finding the Fourth Proportional to 99,909.53, 149,938.20 and 47,319.11

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Solution

The fourth proportional to 99,909.53, 149,938.20 and 47,319.11 is: 71,013.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909.53 : 149,938.20 = 47,319.11 : x
  2. Step 2: Convert to fraction form
    99,909.53/149,938.20 = 47,319.11/x
  3. Step 3: Cross multiply
    99,909.53x = 149,938.20 × 47,319.11
  4. Step 4: Simplify right side
    99,909.53x = 7,094,941,429.31
  5. Step 5: Solve for x
    x = 7,094,941,429.31/99,909.53
  6. Step 6: Final answer
    x = 71,013.66

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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.