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Finding the Fourth Proportional to 38,471.32, 57,706.37 and 19,740.54

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Solution

The fourth proportional to 38,471.32, 57,706.37 and 19,740.54 is: 29,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.32 : 57,706.37 = 19,740.54 : x
  2. Step 2: Convert to fraction form
    38,471.32/57,706.37 = 19,740.54/x
  3. Step 3: Cross multiply
    38,471.32x = 57,706.37 × 19,740.54
  4. Step 4: Simplify right side
    38,471.32x = 1,139,154,905.24
  5. Step 5: Solve for x
    x = 1,139,154,905.24/38,471.32
  6. Step 6: Final answer
    x = 29,610.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.