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Finding the Fourth Proportional to 34,725, 52,081.68 and 9,766.68

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Solution

The fourth proportional to 34,725, 52,081.68 and 9,766.68 is: 14,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,725 : 52,081.68 = 9,766.68 : x
  2. Step 2: Convert to fraction form
    34,725/52,081.68 = 9,766.68/x
  3. Step 3: Cross multiply
    34,725x = 52,081.68 × 9,766.68
  4. Step 4: Simplify right side
    34,725x = 508,665,102.42
  5. Step 5: Solve for x
    x = 508,665,102.42/34,725
  6. Step 6: Final answer
    x = 14,648.38

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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.