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Finding the Fourth Proportional to 83,655.40, 115,449.06 and 47,846.92

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Solution

The fourth proportional to 83,655.40, 115,449.06 and 47,846.92 is: 66,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.40 : 115,449.06 = 47,846.92 : x
  2. Step 2: Convert to fraction form
    83,655.40/115,449.06 = 47,846.92/x
  3. Step 3: Cross multiply
    83,655.40x = 115,449.06 × 47,846.92
  4. Step 4: Simplify right side
    83,655.40x = 5,523,881,937.90
  5. Step 5: Solve for x
    x = 5,523,881,937.90/83,655.40
  6. Step 6: Final answer
    x = 66,031.39

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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.