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Finding the Fourth Proportional to 45,478.32, 62,738.28 and 29,567.76

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Solution

The fourth proportional to 45,478.32, 62,738.28 and 29,567.76 is: 40,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,478.32 : 62,738.28 = 29,567.76 : x
  2. Step 2: Convert to fraction form
    45,478.32/62,738.28 = 29,567.76/x
  3. Step 3: Cross multiply
    45,478.32x = 62,738.28 × 29,567.76
  4. Step 4: Simplify right side
    45,478.32x = 1,855,030,405.85
  5. Step 5: Solve for x
    x = 1,855,030,405.85/45,478.32
  6. Step 6: Final answer
    x = 40,789.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.