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Finding the Fourth Proportional to 122,008.55, 182,963.61 and 37,748.90

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Solution

The fourth proportional to 122,008.55, 182,963.61 and 37,748.90 is: 56,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,008.55 : 182,963.61 = 37,748.90 : x
  2. Step 2: Convert to fraction form
    122,008.55/182,963.61 = 37,748.90/x
  3. Step 3: Cross multiply
    122,008.55x = 182,963.61 × 37,748.90
  4. Step 4: Simplify right side
    122,008.55x = 6,906,675,474.94
  5. Step 5: Solve for x
    x = 6,906,675,474.94/122,008.55
  6. Step 6: Final answer
    x = 56,608.13

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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.