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Finding the Fourth Proportional to 38,095.41, 57,146.87 and 13,132.17

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Solution

The fourth proportional to 38,095.41, 57,146.87 and 13,132.17 is: 19,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,095.41 : 57,146.87 = 13,132.17 : x
  2. Step 2: Convert to fraction form
    38,095.41/57,146.87 = 13,132.17/x
  3. Step 3: Cross multiply
    38,095.41x = 57,146.87 × 13,132.17
  4. Step 4: Simplify right side
    38,095.41x = 750,462,060.41
  5. Step 5: Solve for x
    x = 750,462,060.41/38,095.41
  6. Step 6: Final answer
    x = 19,699.54

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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.