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Finding the Fourth Proportional to 34,658.28, 51,979.46 and 9,700.11

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Solution

The fourth proportional to 34,658.28, 51,979.46 and 9,700.11 is: 14,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.28 : 51,979.46 = 9,700.11 : x
  2. Step 2: Convert to fraction form
    34,658.28/51,979.46 = 9,700.11/x
  3. Step 3: Cross multiply
    34,658.28x = 51,979.46 × 9,700.11
  4. Step 4: Simplify right side
    34,658.28x = 504,206,431.24
  5. Step 5: Solve for x
    x = 504,206,431.24/34,658.28
  6. Step 6: Final answer
    x = 14,547.94

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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.