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Finding the Fourth Proportional to 65,017.75, 89,724.51 and 35,209.75

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Solution

The fourth proportional to 65,017.75, 89,724.51 and 35,209.75 is: 48,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,017.75 : 89,724.51 = 35,209.75 : x
  2. Step 2: Convert to fraction form
    65,017.75/89,724.51 = 35,209.75/x
  3. Step 3: Cross multiply
    65,017.75x = 89,724.51 × 35,209.75
  4. Step 4: Simplify right side
    65,017.75x = 3,159,177,565.97
  5. Step 5: Solve for x
    x = 3,159,177,565.97/65,017.75
  6. Step 6: Final answer
    x = 48,589.46

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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.