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Finding the Fourth Proportional to 34,731.56, 52,097.35 and 8,436.13

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Solution

The fourth proportional to 34,731.56, 52,097.35 and 8,436.13 is: 12,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731.56 : 52,097.35 = 8,436.13 : x
  2. Step 2: Convert to fraction form
    34,731.56/52,097.35 = 8,436.13/x
  3. Step 3: Cross multiply
    34,731.56x = 52,097.35 × 8,436.13
  4. Step 4: Simplify right side
    34,731.56x = 439,499,920.50
  5. Step 5: Solve for x
    x = 439,499,920.50/34,731.56
  6. Step 6: Final answer
    x = 12,654.19

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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.