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Finding the Fourth Proportional to 83,698.92, 115,510.05 and 47,900.16

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Solution

The fourth proportional to 83,698.92, 115,510.05 and 47,900.16 is: 66,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.92 : 115,510.05 = 47,900.16 : x
  2. Step 2: Convert to fraction form
    83,698.92/115,510.05 = 47,900.16/x
  3. Step 3: Cross multiply
    83,698.92x = 115,510.05 × 47,900.16
  4. Step 4: Simplify right side
    83,698.92x = 5,532,949,876.61
  5. Step 5: Solve for x
    x = 5,532,949,876.61/83,698.92
  6. Step 6: Final answer
    x = 66,105.39

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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.