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Finding the Fourth Proportional to 82,959.42, 114,447.57 and 56,092.20

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Solution

The fourth proportional to 82,959.42, 114,447.57 and 56,092.20 is: 77,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.42 : 114,447.57 = 56,092.20 : x
  2. Step 2: Convert to fraction form
    82,959.42/114,447.57 = 56,092.20/x
  3. Step 3: Cross multiply
    82,959.42x = 114,447.57 × 56,092.20
  4. Step 4: Simplify right side
    82,959.42x = 6,419,615,985.95
  5. Step 5: Solve for x
    x = 6,419,615,985.95/82,959.42
  6. Step 6: Final answer
    x = 77,382.60

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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.