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Finding the Fourth Proportional to 65,233.32, 90,022.34 and 38,376.84

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Solution

The fourth proportional to 65,233.32, 90,022.34 and 38,376.84 is: 52,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,233.32 : 90,022.34 = 38,376.84 : x
  2. Step 2: Convert to fraction form
    65,233.32/90,022.34 = 38,376.84/x
  3. Step 3: Cross multiply
    65,233.32x = 90,022.34 × 38,376.84
  4. Step 4: Simplify right side
    65,233.32x = 3,454,772,938.61
  5. Step 5: Solve for x
    x = 3,454,772,938.61/65,233.32
  6. Step 6: Final answer
    x = 52,960.25

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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.