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Finding the Fourth Proportional to 38,200.72, 57,301.47 and 11,546.93

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Solution

The fourth proportional to 38,200.72, 57,301.47 and 11,546.93 is: 17,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.72 : 57,301.47 = 11,546.93 : x
  2. Step 2: Convert to fraction form
    38,200.72/57,301.47 = 11,546.93/x
  3. Step 3: Cross multiply
    38,200.72x = 57,301.47 × 11,546.93
  4. Step 4: Simplify right side
    38,200.72x = 661,655,776.48
  5. Step 5: Solve for x
    x = 661,655,776.48/38,200.72
  6. Step 6: Final answer
    x = 17,320.51

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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.