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Finding the Fourth Proportional to 52,192.40, 78,301.56 and 24,458

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Solution

The fourth proportional to 52,192.40, 78,301.56 and 24,458 is: 36,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,192.40 : 78,301.56 = 24,458 : x
  2. Step 2: Convert to fraction form
    52,192.40/78,301.56 = 24,458/x
  3. Step 3: Cross multiply
    52,192.40x = 78,301.56 × 24,458
  4. Step 4: Simplify right side
    52,192.40x = 1,915,099,554.48
  5. Step 5: Solve for x
    x = 1,915,099,554.48/52,192.40
  6. Step 6: Final answer
    x = 36,693.07

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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.