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Finding the Fourth Proportional to 38,713.98, 53,077.47 and 38,014.14

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Solution

The fourth proportional to 38,713.98, 53,077.47 and 38,014.14 is: 52,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,713.98 : 53,077.47 = 38,014.14 : x
  2. Step 2: Convert to fraction form
    38,713.98/53,077.47 = 38,014.14/x
  3. Step 3: Cross multiply
    38,713.98x = 53,077.47 × 38,014.14
  4. Step 4: Simplify right side
    38,713.98x = 2,017,694,375.43
  5. Step 5: Solve for x
    x = 2,017,694,375.43/38,713.98
  6. Step 6: Final answer
    x = 52,117.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.