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Finding the Fourth Proportional to 65,011.32, 97,516.98 and 22,922.64

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Solution

The fourth proportional to 65,011.32, 97,516.98 and 22,922.64 is: 34,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,011.32 : 97,516.98 = 22,922.64 : x
  2. Step 2: Convert to fraction form
    65,011.32/97,516.98 = 22,922.64/x
  3. Step 3: Cross multiply
    65,011.32x = 97,516.98 × 22,922.64
  4. Step 4: Simplify right side
    65,011.32x = 2,235,346,626.43
  5. Step 5: Solve for x
    x = 2,235,346,626.43/65,011.32
  6. Step 6: Final answer
    x = 34,383.96

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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.