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Finding the Fourth Proportional to 55,294.32, 82,926.80 and 20,234.24

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Solution

The fourth proportional to 55,294.32, 82,926.80 and 20,234.24 is: 30,345.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,294.32 : 82,926.80 = 20,234.24 : x
  2. Step 2: Convert to fraction form
    55,294.32/82,926.80 = 20,234.24/x
  3. Step 3: Cross multiply
    55,294.32x = 82,926.80 × 20,234.24
  4. Step 4: Simplify right side
    55,294.32x = 1,677,960,773.63
  5. Step 5: Solve for x
    x = 1,677,960,773.63/55,294.32
  6. Step 6: Final answer
    x = 30,345.99

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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.