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Finding the Fourth Proportional to 52,468.52, 78,685.76 and 17,398.76

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Solution

The fourth proportional to 52,468.52, 78,685.76 and 17,398.76 is: 26,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,468.52 : 78,685.76 = 17,398.76 : x
  2. Step 2: Convert to fraction form
    52,468.52/78,685.76 = 17,398.76/x
  3. Step 3: Cross multiply
    52,468.52x = 78,685.76 × 17,398.76
  4. Step 4: Simplify right side
    52,468.52x = 1,369,034,653.66
  5. Step 5: Solve for x
    x = 1,369,034,653.66/52,468.52
  6. Step 6: Final answer
    x = 26,092.50

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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.