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Finding the Fourth Proportional to 82,732, 114,169.70 and 45,006.24

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Solution

The fourth proportional to 82,732, 114,169.70 and 45,006.24 is: 62,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732 : 114,169.70 = 45,006.24 : x
  2. Step 2: Convert to fraction form
    82,732/114,169.70 = 45,006.24/x
  3. Step 3: Cross multiply
    82,732x = 114,169.70 × 45,006.24
  4. Step 4: Simplify right side
    82,732x = 5,138,348,918.93
  5. Step 5: Solve for x
    x = 5,138,348,918.93/82,732
  6. Step 6: Final answer
    x = 62,108.36

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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.