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Finding the Fourth Proportional to 37,148.52, 55,737 and 22,368

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Solution

The fourth proportional to 37,148.52, 55,737 and 22,368 is: 33,560.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,148.52 : 55,737 = 22,368 : x
  2. Step 2: Convert to fraction form
    37,148.52/55,737 = 22,368/x
  3. Step 3: Cross multiply
    37,148.52x = 55,737 × 22,368
  4. Step 4: Simplify right side
    37,148.52x = 1,246,725,216
  5. Step 5: Solve for x
    x = 1,246,725,216/37,148.52
  6. Step 6: Final answer
    x = 33,560.56

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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.