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Finding the Fourth Proportional to 82,892.64, 114,409.52 and 54,600.80

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Solution

The fourth proportional to 82,892.64, 114,409.52 and 54,600.80 is: 75,360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.64 : 114,409.52 = 54,600.80 : x
  2. Step 2: Convert to fraction form
    82,892.64/114,409.52 = 54,600.80/x
  3. Step 3: Cross multiply
    82,892.64x = 114,409.52 × 54,600.80
  4. Step 4: Simplify right side
    82,892.64x = 6,246,851,319.62
  5. Step 5: Solve for x
    x = 6,246,851,319.62/82,892.64
  6. Step 6: Final answer
    x = 75,360.75

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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.