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Finding the Fourth Proportional to 38,114.74, 57,175.95 and 10,412.98

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Solution

The fourth proportional to 38,114.74, 57,175.95 and 10,412.98 is: 15,620.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.74 : 57,175.95 = 10,412.98 : x
  2. Step 2: Convert to fraction form
    38,114.74/57,175.95 = 10,412.98/x
  3. Step 3: Cross multiply
    38,114.74x = 57,175.95 × 10,412.98
  4. Step 4: Simplify right side
    38,114.74x = 595,372,023.83
  5. Step 5: Solve for x
    x = 595,372,023.83/38,114.74
  6. Step 6: Final answer
    x = 15,620.52

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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.