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Finding the Fourth Proportional to 83,341.01, 125,031.14 and 47,825.12

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Solution

The fourth proportional to 83,341.01, 125,031.14 and 47,825.12 is: 71,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,341.01 : 125,031.14 = 47,825.12 : x
  2. Step 2: Convert to fraction form
    83,341.01/125,031.14 = 47,825.12/x
  3. Step 3: Cross multiply
    83,341.01x = 125,031.14 × 47,825.12
  4. Step 4: Simplify right side
    83,341.01x = 5,979,628,409.96
  5. Step 5: Solve for x
    x = 5,979,628,409.96/83,341.01
  6. Step 6: Final answer
    x = 71,748.94

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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.