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Finding the Fourth Proportional to 52,578, 78,862.50 and 19,296.72

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Solution

The fourth proportional to 52,578, 78,862.50 and 19,296.72 is: 28,943.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578 : 78,862.50 = 19,296.72 : x
  2. Step 2: Convert to fraction form
    52,578/78,862.50 = 19,296.72/x
  3. Step 3: Cross multiply
    52,578x = 78,862.50 × 19,296.72
  4. Step 4: Simplify right side
    52,578x = 1,521,787,581
  5. Step 5: Solve for x
    x = 1,521,787,581/52,578
  6. Step 6: Final answer
    x = 28,943.43

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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.