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Finding the Fourth Proportional to 83,005.66, 114,584.91 and 56,229.49

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Solution

The fourth proportional to 83,005.66, 114,584.91 and 56,229.49 is: 77,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,005.66 : 114,584.91 = 56,229.49 : x
  2. Step 2: Convert to fraction form
    83,005.66/114,584.91 = 56,229.49/x
  3. Step 3: Cross multiply
    83,005.66x = 114,584.91 × 56,229.49
  4. Step 4: Simplify right side
    83,005.66x = 6,443,050,478.07
  5. Step 5: Solve for x
    x = 6,443,050,478.07/83,005.66
  6. Step 6: Final answer
    x = 77,621.83

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1.5x scale

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.