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Finding the Fourth Proportional to 83,469.68, 115,228.05 and 47,652.77

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Solution

The fourth proportional to 83,469.68, 115,228.05 and 47,652.77 is: 65,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.68 : 115,228.05 = 47,652.77 : x
  2. Step 2: Convert to fraction form
    83,469.68/115,228.05 = 47,652.77/x
  3. Step 3: Cross multiply
    83,469.68x = 115,228.05 × 47,652.77
  4. Step 4: Simplify right side
    83,469.68x = 5,490,935,404.11
  5. Step 5: Solve for x
    x = 5,490,935,404.11/83,469.68
  6. Step 6: Final answer
    x = 65,783.60

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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.