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Finding the Fourth Proportional to 38,376, 52,958.88 and 22,459.68

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Solution

The fourth proportional to 38,376, 52,958.88 and 22,459.68 is: 30,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376 : 52,958.88 = 22,459.68 : x
  2. Step 2: Convert to fraction form
    38,376/52,958.88 = 22,459.68/x
  3. Step 3: Cross multiply
    38,376x = 52,958.88 × 22,459.68
  4. Step 4: Simplify right side
    38,376x = 1,189,439,497.96
  5. Step 5: Solve for x
    x = 1,189,439,497.96/38,376
  6. Step 6: Final answer
    x = 30,994.36

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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.