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Finding the Fourth Proportional to 96,698.92, 144,984 and 49,331.20

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Solution

The fourth proportional to 96,698.92, 144,984 and 49,331.20 is: 73,963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,698.92 : 144,984 = 49,331.20 : x
  2. Step 2: Convert to fraction form
    96,698.92/144,984 = 49,331.20/x
  3. Step 3: Cross multiply
    96,698.92x = 144,984 × 49,331.20
  4. Step 4: Simplify right side
    96,698.92x = 7,152,234,700.80
  5. Step 5: Solve for x
    x = 7,152,234,700.80/96,698.92
  6. Step 6: Final answer
    x = 73,963.96

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1.5x scale

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.