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Finding the Fourth Proportional to 52,295.52, 78,443.16 and 22,709.52

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Solution

The fourth proportional to 52,295.52, 78,443.16 and 22,709.52 is: 34,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,295.52 : 78,443.16 = 22,709.52 : x
  2. Step 2: Convert to fraction form
    52,295.52/78,443.16 = 22,709.52/x
  3. Step 3: Cross multiply
    52,295.52x = 78,443.16 × 22,709.52
  4. Step 4: Simplify right side
    52,295.52x = 1,781,406,510.88
  5. Step 5: Solve for x
    x = 1,781,406,510.88/52,295.52
  6. Step 6: Final answer
    x = 34,064.23

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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.