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Finding the Fourth Proportional to 83,161.71, 124,773.48 and 49,905.63

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Solution

The fourth proportional to 83,161.71, 124,773.48 and 49,905.63 is: 74,877.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,161.71 : 124,773.48 = 49,905.63 : x
  2. Step 2: Convert to fraction form
    83,161.71/124,773.48 = 49,905.63/x
  3. Step 3: Cross multiply
    83,161.71x = 124,773.48 × 49,905.63
  4. Step 4: Simplify right side
    83,161.71x = 6,226,899,126.69
  5. Step 5: Solve for x
    x = 6,226,899,126.69/83,161.71
  6. Step 6: Final answer
    x = 74,877.00

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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.