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Finding the Fourth Proportional to 83,285.16, 114,933.14 and 45,044.76

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Solution

The fourth proportional to 83,285.16, 114,933.14 and 45,044.76 is: 62,161.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285.16 : 114,933.14 = 45,044.76 : x
  2. Step 2: Convert to fraction form
    83,285.16/114,933.14 = 45,044.76/x
  3. Step 3: Cross multiply
    83,285.16x = 114,933.14 × 45,044.76
  4. Step 4: Simplify right side
    83,285.16x = 5,177,135,688.92
  5. Step 5: Solve for x
    x = 5,177,135,688.92/83,285.16
  6. Step 6: Final answer
    x = 62,161.56

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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.