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Finding the Fourth Proportional to 52,148.88, 78,242.88 and 24,082.38

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Solution

The fourth proportional to 52,148.88, 78,242.88 and 24,082.38 is: 36,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.88 : 78,242.88 = 24,082.38 : x
  2. Step 2: Convert to fraction form
    52,148.88/78,242.88 = 24,082.38/x
  3. Step 3: Cross multiply
    52,148.88x = 78,242.88 × 24,082.38
  4. Step 4: Simplify right side
    52,148.88x = 1,884,274,768.45
  5. Step 5: Solve for x
    x = 1,884,274,768.45/52,148.88
  6. Step 6: Final answer
    x = 36,132.60

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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.