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Finding the Fourth Proportional to 52,761.71, 79,146.69 and 15,322.40

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Solution

The fourth proportional to 52,761.71, 79,146.69 and 15,322.40 is: 22,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,761.71 : 79,146.69 = 15,322.40 : x
  2. Step 2: Convert to fraction form
    52,761.71/79,146.69 = 15,322.40/x
  3. Step 3: Cross multiply
    52,761.71x = 79,146.69 × 15,322.40
  4. Step 4: Simplify right side
    52,761.71x = 1,212,717,086.46
  5. Step 5: Solve for x
    x = 1,212,717,086.46/52,761.71
  6. Step 6: Final answer
    x = 22,984.79

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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.