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Finding the Fourth Proportional to 38,411.45, 53,008.20 and 22,279.85

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Solution

The fourth proportional to 38,411.45, 53,008.20 and 22,279.85 is: 30,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.45 : 53,008.20 = 22,279.85 : x
  2. Step 2: Convert to fraction form
    38,411.45/53,008.20 = 22,279.85/x
  3. Step 3: Cross multiply
    38,411.45x = 53,008.20 × 22,279.85
  4. Step 4: Simplify right side
    38,411.45x = 1,181,014,748.53
  5. Step 5: Solve for x
    x = 1,181,014,748.53/38,411.45
  6. Step 6: Final answer
    x = 30,746.42

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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.