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Finding the Fourth Proportional to 83,031.48, 124,613.64 and 43,611.84

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Solution

The fourth proportional to 83,031.48, 124,613.64 and 43,611.84 is: 65,452.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.48 : 124,613.64 = 43,611.84 : x
  2. Step 2: Convert to fraction form
    83,031.48/124,613.64 = 43,611.84/x
  3. Step 3: Cross multiply
    83,031.48x = 124,613.64 × 43,611.84
  4. Step 4: Simplify right side
    83,031.48x = 5,434,630,129.50
  5. Step 5: Solve for x
    x = 5,434,630,129.50/83,031.48
  6. Step 6: Final answer
    x = 65,452.65

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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.