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Finding the Fourth Proportional to 38,443.74, 57,675.21 and 10,741.50

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Solution

The fourth proportional to 38,443.74, 57,675.21 and 10,741.50 is: 16,114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.74 : 57,675.21 = 10,741.50 : x
  2. Step 2: Convert to fraction form
    38,443.74/57,675.21 = 10,741.50/x
  3. Step 3: Cross multiply
    38,443.74x = 57,675.21 × 10,741.50
  4. Step 4: Simplify right side
    38,443.74x = 619,518,268.22
  5. Step 5: Solve for x
    x = 619,518,268.22/38,443.74
  6. Step 6: Final answer
    x = 16,114.93

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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.