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Finding the Fourth Proportional to 37,156.80, 55,737 and 14,967.18

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Solution

The fourth proportional to 37,156.80, 55,737 and 14,967.18 is: 22,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,156.80 : 55,737 = 14,967.18 : x
  2. Step 2: Convert to fraction form
    37,156.80/55,737 = 14,967.18/x
  3. Step 3: Cross multiply
    37,156.80x = 55,737 × 14,967.18
  4. Step 4: Simplify right side
    37,156.80x = 834,225,711.66
  5. Step 5: Solve for x
    x = 834,225,711.66/37,156.80
  6. Step 6: Final answer
    x = 22,451.50

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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.