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Finding the Fourth Proportional to 38,252.34, 57,355.02 and 13,281.66

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Solution

The fourth proportional to 38,252.34, 57,355.02 and 13,281.66 is: 19,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252.34 : 57,355.02 = 13,281.66 : x
  2. Step 2: Convert to fraction form
    38,252.34/57,355.02 = 13,281.66/x
  3. Step 3: Cross multiply
    38,252.34x = 57,355.02 × 13,281.66
  4. Step 4: Simplify right side
    38,252.34x = 761,769,874.93
  5. Step 5: Solve for x
    x = 761,769,874.93/38,252.34
  6. Step 6: Final answer
    x = 19,914.33

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