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Finding the Fourth Proportional to 70,282.89, 96,991.80 and 38,452.47

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Solution

The fourth proportional to 70,282.89, 96,991.80 and 38,452.47 is: 53,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.89 : 96,991.80 = 38,452.47 : x
  2. Step 2: Convert to fraction form
    70,282.89/96,991.80 = 38,452.47/x
  3. Step 3: Cross multiply
    70,282.89x = 96,991.80 × 38,452.47
  4. Step 4: Simplify right side
    70,282.89x = 3,729,574,279.75
  5. Step 5: Solve for x
    x = 3,729,574,279.75/70,282.89
  6. Step 6: Final answer
    x = 53,065.18

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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.