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Finding the Fourth Proportional to 83,646.52, 125,476.26 and 36,891.16

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Solution

The fourth proportional to 83,646.52, 125,476.26 and 36,891.16 is: 55,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,646.52 : 125,476.26 = 36,891.16 : x
  2. Step 2: Convert to fraction form
    83,646.52/125,476.26 = 36,891.16/x
  3. Step 3: Cross multiply
    83,646.52x = 125,476.26 × 36,891.16
  4. Step 4: Simplify right side
    83,646.52x = 4,628,964,783.86
  5. Step 5: Solve for x
    x = 4,628,964,783.86/83,646.52
  6. Step 6: Final answer
    x = 55,339.60

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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.