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Finding the Fourth Proportional to 52,807.68, 79,218 and 24,713.28

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Solution

The fourth proportional to 52,807.68, 79,218 and 24,713.28 is: 37,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807.68 : 79,218 = 24,713.28 : x
  2. Step 2: Convert to fraction form
    52,807.68/79,218 = 24,713.28/x
  3. Step 3: Cross multiply
    52,807.68x = 79,218 × 24,713.28
  4. Step 4: Simplify right side
    52,807.68x = 1,957,736,615.04
  5. Step 5: Solve for x
    x = 1,957,736,615.04/52,807.68
  6. Step 6: Final answer
    x = 37,072.95

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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.