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Finding the Fourth Proportional to 82,937.75, 114,454.13 and 47,127.80

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Solution

The fourth proportional to 82,937.75, 114,454.13 and 47,127.80 is: 65,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,937.75 : 114,454.13 = 47,127.80 : x
  2. Step 2: Convert to fraction form
    82,937.75/114,454.13 = 47,127.80/x
  3. Step 3: Cross multiply
    82,937.75x = 114,454.13 × 47,127.80
  4. Step 4: Simplify right side
    82,937.75x = 5,393,971,112.18
  5. Step 5: Solve for x
    x = 5,393,971,112.18/82,937.75
  6. Step 6: Final answer
    x = 65,036.38

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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.