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Finding the Fourth Proportional to 82,507.88, 113,862.34 and 44,782.12

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Solution

The fourth proportional to 82,507.88, 113,862.34 and 44,782.12 is: 61,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507.88 : 113,862.34 = 44,782.12 : x
  2. Step 2: Convert to fraction form
    82,507.88/113,862.34 = 44,782.12/x
  3. Step 3: Cross multiply
    82,507.88x = 113,862.34 × 44,782.12
  4. Step 4: Simplify right side
    82,507.88x = 5,098,996,973.36
  5. Step 5: Solve for x
    x = 5,098,996,973.36/82,507.88
  6. Step 6: Final answer
    x = 61,800.12

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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.