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Finding the Fourth Proportional to 39,134.24, 54,008.88 and 22,364

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Solution

The fourth proportional to 39,134.24, 54,008.88 and 22,364 is: 30,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,134.24 : 54,008.88 = 22,364 : x
  2. Step 2: Convert to fraction form
    39,134.24/54,008.88 = 22,364/x
  3. Step 3: Cross multiply
    39,134.24x = 54,008.88 × 22,364
  4. Step 4: Simplify right side
    39,134.24x = 1,207,854,592.32
  5. Step 5: Solve for x
    x = 1,207,854,592.32/39,134.24
  6. Step 6: Final answer
    x = 30,864.39

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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.