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Finding the Fourth Proportional to 34,718.78, 52,078.14 and 9,757.82

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Solution

The fourth proportional to 34,718.78, 52,078.14 and 9,757.82 is: 14,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,718.78 : 52,078.14 = 9,757.82 : x
  2. Step 2: Convert to fraction form
    34,718.78/52,078.14 = 9,757.82/x
  3. Step 3: Cross multiply
    34,718.78x = 52,078.14 × 9,757.82
  4. Step 4: Simplify right side
    34,718.78x = 508,169,116.05
  5. Step 5: Solve for x
    x = 508,169,116.05/34,718.78
  6. Step 6: Final answer
    x = 14,636.72

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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.