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Finding the Fourth Proportional to 38,105.61, 52,586.61 and 22,184.25

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Solution

The fourth proportional to 38,105.61, 52,586.61 and 22,184.25 is: 30,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,105.61 : 52,586.61 = 22,184.25 : x
  2. Step 2: Convert to fraction form
    38,105.61/52,586.61 = 22,184.25/x
  3. Step 3: Cross multiply
    38,105.61x = 52,586.61 × 22,184.25
  4. Step 4: Simplify right side
    38,105.61x = 1,166,594,502.89
  5. Step 5: Solve for x
    x = 1,166,594,502.89/38,105.61
  6. Step 6: Final answer
    x = 30,614.77

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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.