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Finding the Fourth Proportional to 82,466.76, 113,752.98 and 72,387.24

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Solution

The fourth proportional to 82,466.76, 113,752.98 and 72,387.24 is: 99,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466.76 : 113,752.98 = 72,387.24 : x
  2. Step 2: Convert to fraction form
    82,466.76/113,752.98 = 72,387.24/x
  3. Step 3: Cross multiply
    82,466.76x = 113,752.98 × 72,387.24
  4. Step 4: Simplify right side
    82,466.76x = 8,234,264,263.98
  5. Step 5: Solve for x
    x = 8,234,264,263.98/82,466.76
  6. Step 6: Final answer
    x = 99,849.49

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Double scale
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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.