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Finding the Fourth Proportional to 34,731.50, 52,097.25 and 8,436.07

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Solution

The fourth proportional to 34,731.50, 52,097.25 and 8,436.07 is: 12,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731.50 : 52,097.25 = 8,436.07 : x
  2. Step 2: Convert to fraction form
    34,731.50/52,097.25 = 8,436.07/x
  3. Step 3: Cross multiply
    34,731.50x = 52,097.25 × 8,436.07
  4. Step 4: Simplify right side
    34,731.50x = 439,495,938.65
  5. Step 5: Solve for x
    x = 439,495,938.65/34,731.50
  6. Step 6: Final answer
    x = 12,654.10

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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.