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Finding the Fourth Proportional to 52,227.76, 78,325.02 and 17,159.32

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Solution

The fourth proportional to 52,227.76, 78,325.02 and 17,159.32 is: 25,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,227.76 : 78,325.02 = 17,159.32 : x
  2. Step 2: Convert to fraction form
    52,227.76/78,325.02 = 17,159.32/x
  3. Step 3: Cross multiply
    52,227.76x = 78,325.02 × 17,159.32
  4. Step 4: Simplify right side
    52,227.76x = 1,344,004,082.19
  5. Step 5: Solve for x
    x = 1,344,004,082.19/52,227.76
  6. Step 6: Final answer
    x = 25,733.52

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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.