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Finding the Fourth Proportional to 52,429, 78,656.46 and 15,493

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Solution

The fourth proportional to 52,429, 78,656.46 and 15,493 is: 23,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,429 : 78,656.46 = 15,493 : x
  2. Step 2: Convert to fraction form
    52,429/78,656.46 = 15,493/x
  3. Step 3: Cross multiply
    52,429x = 78,656.46 × 15,493
  4. Step 4: Simplify right side
    52,429x = 1,218,624,534.78
  5. Step 5: Solve for x
    x = 1,218,624,534.78/52,429
  6. Step 6: Final answer
    x = 23,243.33

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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.