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Finding the Fourth Proportional to 83,314.71, 124,946.15 and 27,897.75

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Solution

The fourth proportional to 83,314.71, 124,946.15 and 27,897.75 is: 41,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.71 : 124,946.15 = 27,897.75 : x
  2. Step 2: Convert to fraction form
    83,314.71/124,946.15 = 27,897.75/x
  3. Step 3: Cross multiply
    83,314.71x = 124,946.15 × 27,897.75
  4. Step 4: Simplify right side
    83,314.71x = 3,485,716,316.67
  5. Step 5: Solve for x
    x = 3,485,716,316.67/83,314.71
  6. Step 6: Final answer
    x = 41,837.95

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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.