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Finding the Fourth Proportional to 38,316.08, 57,474.04 and 10,614

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Solution

The fourth proportional to 38,316.08, 57,474.04 and 10,614 is: 15,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,316.08 : 57,474.04 = 10,614 : x
  2. Step 2: Convert to fraction form
    38,316.08/57,474.04 = 10,614/x
  3. Step 3: Cross multiply
    38,316.08x = 57,474.04 × 10,614
  4. Step 4: Simplify right side
    38,316.08x = 610,029,460.56
  5. Step 5: Solve for x
    x = 610,029,460.56/38,316.08
  6. Step 6: Final answer
    x = 15,920.98

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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.