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Finding the Fourth Proportional to 83,336.09, 124,978.19 and 27,919.13

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Solution

The fourth proportional to 83,336.09, 124,978.19 and 27,919.13 is: 41,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,336.09 : 124,978.19 = 27,919.13 : x
  2. Step 2: Convert to fraction form
    83,336.09/124,978.19 = 27,919.13/x
  3. Step 3: Cross multiply
    83,336.09x = 124,978.19 × 27,919.13
  4. Step 4: Simplify right side
    83,336.09x = 3,489,281,569.29
  5. Step 5: Solve for x
    x = 3,489,281,569.29/83,336.09
  6. Step 6: Final answer
    x = 41,870.00

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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.