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Finding the Fourth Proportional to 65,335.32, 97,993.76 and 20,956.30

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Solution

The fourth proportional to 65,335.32, 97,993.76 and 20,956.30 is: 31,431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,335.32 : 97,993.76 = 20,956.30 : x
  2. Step 2: Convert to fraction form
    65,335.32/97,993.76 = 20,956.30/x
  3. Step 3: Cross multiply
    65,335.32x = 97,993.76 × 20,956.30
  4. Step 4: Simplify right side
    65,335.32x = 2,053,586,282.92
  5. Step 5: Solve for x
    x = 2,053,586,282.92/65,335.32
  6. Step 6: Final answer
    x = 31,431.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.