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Finding the Fourth Proportional to 38,191.59, 57,276.45 and 13,225.16

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Solution

The fourth proportional to 38,191.59, 57,276.45 and 13,225.16 is: 19,833.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.59 : 57,276.45 = 13,225.16 : x
  2. Step 2: Convert to fraction form
    38,191.59/57,276.45 = 13,225.16/x
  3. Step 3: Cross multiply
    38,191.59x = 57,276.45 × 13,225.16
  4. Step 4: Simplify right side
    38,191.59x = 757,490,358.67
  5. Step 5: Solve for x
    x = 757,490,358.67/38,191.59
  6. Step 6: Final answer
    x = 19,833.96

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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.