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Finding the Fourth Proportional to 34,443.78, 51,658.82 and 9,477.38

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Solution

The fourth proportional to 34,443.78, 51,658.82 and 9,477.38 is: 14,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443.78 : 51,658.82 = 9,477.38 : x
  2. Step 2: Convert to fraction form
    34,443.78/51,658.82 = 9,477.38/x
  3. Step 3: Cross multiply
    34,443.78x = 51,658.82 × 9,477.38
  4. Step 4: Simplify right side
    34,443.78x = 489,589,961.81
  5. Step 5: Solve for x
    x = 489,589,961.81/34,443.78
  6. Step 6: Final answer
    x = 14,214.18

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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.