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Finding the Fourth Proportional to 82,601.76, 114,008.52 and 54,310.08

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Solution

The fourth proportional to 82,601.76, 114,008.52 and 54,310.08 is: 74,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,601.76 : 114,008.52 = 54,310.08 : x
  2. Step 2: Convert to fraction form
    82,601.76/114,008.52 = 54,310.08/x
  3. Step 3: Cross multiply
    82,601.76x = 114,008.52 × 54,310.08
  4. Step 4: Simplify right side
    82,601.76x = 6,191,811,841.88
  5. Step 5: Solve for x
    x = 6,191,811,841.88/82,601.76
  6. Step 6: Final answer
    x = 74,959.81

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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.