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Finding the Fourth Proportional to 34,891.32, 48,148.55 and 19,785

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Solution

The fourth proportional to 34,891.32, 48,148.55 and 19,785 is: 27,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,891.32 : 48,148.55 = 19,785 : x
  2. Step 2: Convert to fraction form
    34,891.32/48,148.55 = 19,785/x
  3. Step 3: Cross multiply
    34,891.32x = 48,148.55 × 19,785
  4. Step 4: Simplify right side
    34,891.32x = 952,619,061.75
  5. Step 5: Solve for x
    x = 952,619,061.75/34,891.32
  6. Step 6: Final answer
    x = 27,302.47

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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.