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Finding the Fourth Proportional to 82,737.64, 114,178.17 and 45,011.89

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Solution

The fourth proportional to 82,737.64, 114,178.17 and 45,011.89 is: 62,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,737.64 : 114,178.17 = 45,011.89 : x
  2. Step 2: Convert to fraction form
    82,737.64/114,178.17 = 45,011.89/x
  3. Step 3: Cross multiply
    82,737.64x = 114,178.17 × 45,011.89
  4. Step 4: Simplify right side
    82,737.64x = 5,139,375,228.44
  5. Step 5: Solve for x
    x = 5,139,375,228.44/82,737.64
  6. Step 6: Final answer
    x = 62,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.