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Finding the Fourth Proportional to 70,104.96, 96,747 and 38,275.92

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Solution

The fourth proportional to 70,104.96, 96,747 and 38,275.92 is: 52,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,104.96 : 96,747 = 38,275.92 : x
  2. Step 2: Convert to fraction form
    70,104.96/96,747 = 38,275.92/x
  3. Step 3: Cross multiply
    70,104.96x = 96,747 × 38,275.92
  4. Step 4: Simplify right side
    70,104.96x = 3,703,080,432.24
  5. Step 5: Solve for x
    x = 3,703,080,432.24/70,104.96
  6. Step 6: Final answer
    x = 52,821.95

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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.