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Finding the Fourth Proportional to 70,098.75, 96,731.75 and 38,267.64

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Solution

The fourth proportional to 70,098.75, 96,731.75 and 38,267.64 is: 52,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.75 : 96,731.75 = 38,267.64 : x
  2. Step 2: Convert to fraction form
    70,098.75/96,731.75 = 38,267.64/x
  3. Step 3: Cross multiply
    70,098.75x = 96,731.75 × 38,267.64
  4. Step 4: Simplify right side
    70,098.75x = 3,701,695,881.24
  5. Step 5: Solve for x
    x = 3,701,695,881.24/70,098.75
  6. Step 6: Final answer
    x = 52,806.87

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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.