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Finding the Fourth Proportional to 38,109.12, 57,165.12 and 10,407.12

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Solution

The fourth proportional to 38,109.12, 57,165.12 and 10,407.12 is: 15,611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,109.12 : 57,165.12 = 10,407.12 : x
  2. Step 2: Convert to fraction form
    38,109.12/57,165.12 = 10,407.12/x
  3. Step 3: Cross multiply
    38,109.12x = 57,165.12 × 10,407.12
  4. Step 4: Simplify right side
    38,109.12x = 594,924,263.65
  5. Step 5: Solve for x
    x = 594,924,263.65/38,109.12
  6. Step 6: Final answer
    x = 15,611.07

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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.