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Finding the Fourth Proportional to 34,694.29, 52,044.95 and 9,734.41

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Solution

The fourth proportional to 34,694.29, 52,044.95 and 9,734.41 is: 14,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,694.29 : 52,044.95 = 9,734.41 : x
  2. Step 2: Convert to fraction form
    34,694.29/52,044.95 = 9,734.41/x
  3. Step 3: Cross multiply
    34,694.29x = 52,044.95 × 9,734.41
  4. Step 4: Simplify right side
    34,694.29x = 506,626,881.73
  5. Step 5: Solve for x
    x = 506,626,881.73/34,694.29
  6. Step 6: Final answer
    x = 14,602.60

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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.