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Finding the Fourth Proportional to 70,092, 96,723.36 and 38,254.80

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Solution

The fourth proportional to 70,092, 96,723.36 and 38,254.80 is: 52,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,092 : 96,723.36 = 38,254.80 : x
  2. Step 2: Convert to fraction form
    70,092/96,723.36 = 38,254.80/x
  3. Step 3: Cross multiply
    70,092x = 96,723.36 × 38,254.80
  4. Step 4: Simplify right side
    70,092x = 3,700,132,792.13
  5. Step 5: Solve for x
    x = 3,700,132,792.13/70,092
  6. Step 6: Final answer
    x = 52,789.66

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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.