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Finding the Fourth Proportional to 34,316.78, 51,469.92 and 9,358.88

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Solution

The fourth proportional to 34,316.78, 51,469.92 and 9,358.88 is: 14,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316.78 : 51,469.92 = 9,358.88 : x
  2. Step 2: Convert to fraction form
    34,316.78/51,469.92 = 9,358.88/x
  3. Step 3: Cross multiply
    34,316.78x = 51,469.92 × 9,358.88
  4. Step 4: Simplify right side
    34,316.78x = 481,700,547.54
  5. Step 5: Solve for x
    x = 481,700,547.54/34,316.78
  6. Step 6: Final answer
    x = 14,036.88

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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.