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Finding the Fourth Proportional to 38,436.42, 53,018.15 and 24,819.11

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Solution

The fourth proportional to 38,436.42, 53,018.15 and 24,819.11 is: 34,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.42 : 53,018.15 = 24,819.11 : x
  2. Step 2: Convert to fraction form
    38,436.42/53,018.15 = 24,819.11/x
  3. Step 3: Cross multiply
    38,436.42x = 53,018.15 × 24,819.11
  4. Step 4: Simplify right side
    38,436.42x = 1,315,863,106.48
  5. Step 5: Solve for x
    x = 1,315,863,106.48/38,436.42
  6. Step 6: Final answer
    x = 34,234.80

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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.