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Finding the Fourth Proportional to 83,101.10, 124,570.65 and 47,525.90

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Solution

The fourth proportional to 83,101.10, 124,570.65 and 47,525.90 is: 71,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.10 : 124,570.65 = 47,525.90 : x
  2. Step 2: Convert to fraction form
    83,101.10/124,570.65 = 47,525.90/x
  3. Step 3: Cross multiply
    83,101.10x = 124,570.65 × 47,525.90
  4. Step 4: Simplify right side
    83,101.10x = 5,920,332,254.84
  5. Step 5: Solve for x
    x = 5,920,332,254.84/83,101.10
  6. Step 6: Final answer
    x = 71,242.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.