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Finding the Fourth Proportional to 34,654.88, 47,818.32 and 19,748

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Solution

The fourth proportional to 34,654.88, 47,818.32 and 19,748 is: 27,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.88 : 47,818.32 = 19,748 : x
  2. Step 2: Convert to fraction form
    34,654.88/47,818.32 = 19,748/x
  3. Step 3: Cross multiply
    34,654.88x = 47,818.32 × 19,748
  4. Step 4: Simplify right side
    34,654.88x = 944,316,183.36
  5. Step 5: Solve for x
    x = 944,316,183.36/34,654.88
  6. Step 6: Final answer
    x = 27,249.15

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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.