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Finding the Fourth Proportional to 22,842.50, 34,079.47 and 20,349.32

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Solution

The fourth proportional to 22,842.50, 34,079.47 and 20,349.32 is: 30,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.50 : 34,079.47 = 20,349.32 : x
  2. Step 2: Convert to fraction form
    22,842.50/34,079.47 = 20,349.32/x
  3. Step 3: Cross multiply
    22,842.50x = 34,079.47 × 20,349.32
  4. Step 4: Simplify right side
    22,842.50x = 693,494,040.46
  5. Step 5: Solve for x
    x = 693,494,040.46/22,842.50
  6. Step 6: Final answer
    x = 30,359.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.