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Finding the Fourth Proportional to 52,434, 78,663.96 and 15,498

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Solution

The fourth proportional to 52,434, 78,663.96 and 15,498 is: 23,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,434 : 78,663.96 = 15,498 : x
  2. Step 2: Convert to fraction form
    52,434/78,663.96 = 15,498/x
  3. Step 3: Cross multiply
    52,434x = 78,663.96 × 15,498
  4. Step 4: Simplify right side
    52,434x = 1,219,134,052.08
  5. Step 5: Solve for x
    x = 1,219,134,052.08/52,434
  6. Step 6: Final answer
    x = 23,250.83

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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.