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Finding the Fourth Proportional to 38,444.60, 57,693 and 13,484.46

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Solution

The fourth proportional to 38,444.60, 57,693 and 13,484.46 is: 20,235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,444.60 : 57,693 = 13,484.46 : x
  2. Step 2: Convert to fraction form
    38,444.60/57,693 = 13,484.46/x
  3. Step 3: Cross multiply
    38,444.60x = 57,693 × 13,484.46
  4. Step 4: Simplify right side
    38,444.60x = 777,958,950.78
  5. Step 5: Solve for x
    x = 777,958,950.78/38,444.60
  6. Step 6: Final answer
    x = 20,235.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.