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Finding the Fourth Proportional to 34,531.20, 47,657.25 and 19,424.49

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Solution

The fourth proportional to 34,531.20, 47,657.25 and 19,424.49 is: 26,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,531.20 : 47,657.25 = 19,424.49 : x
  2. Step 2: Convert to fraction form
    34,531.20/47,657.25 = 19,424.49/x
  3. Step 3: Cross multiply
    34,531.20x = 47,657.25 × 19,424.49
  4. Step 4: Simplify right side
    34,531.20x = 925,717,776.05
  5. Step 5: Solve for x
    x = 925,717,776.05/34,531.20
  6. Step 6: Final answer
    x = 26,808.16

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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.