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Finding the Fourth Proportional to 37,044.76, 55,572.92 and 12,415

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Solution

The fourth proportional to 37,044.76, 55,572.92 and 12,415 is: 18,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044.76 : 55,572.92 = 12,415 : x
  2. Step 2: Convert to fraction form
    37,044.76/55,572.92 = 12,415/x
  3. Step 3: Cross multiply
    37,044.76x = 55,572.92 × 12,415
  4. Step 4: Simplify right side
    37,044.76x = 689,937,801.80
  5. Step 5: Solve for x
    x = 689,937,801.80/37,044.76
  6. Step 6: Final answer
    x = 18,624.44

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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.