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Finding the Fourth Proportional to 83,762.32, 125,670.76 and 39,393.48

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Solution

The fourth proportional to 83,762.32, 125,670.76 and 39,393.48 is: 59,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,762.32 : 125,670.76 = 39,393.48 : x
  2. Step 2: Convert to fraction form
    83,762.32/125,670.76 = 39,393.48/x
  3. Step 3: Cross multiply
    83,762.32x = 125,670.76 × 39,393.48
  4. Step 4: Simplify right side
    83,762.32x = 4,950,608,570.64
  5. Step 5: Solve for x
    x = 4,950,608,570.64/83,762.32
  6. Step 6: Final answer
    x = 59,103.05

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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.