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Finding the Fourth Proportional to 52,282.52, 78,424.04 and 12,839.64

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Solution

The fourth proportional to 52,282.52, 78,424.04 and 12,839.64 is: 19,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,282.52 : 78,424.04 = 12,839.64 : x
  2. Step 2: Convert to fraction form
    52,282.52/78,424.04 = 12,839.64/x
  3. Step 3: Cross multiply
    52,282.52x = 78,424.04 × 12,839.64
  4. Step 4: Simplify right side
    52,282.52x = 1,006,936,440.95
  5. Step 5: Solve for x
    x = 1,006,936,440.95/52,282.52
  6. Step 6: Final answer
    x = 19,259.52

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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.