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Finding the Fourth Proportional to 34,798.50, 52,206.66 and 11,425.14

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Solution

The fourth proportional to 34,798.50, 52,206.66 and 11,425.14 is: 17,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,798.50 : 52,206.66 = 11,425.14 : x
  2. Step 2: Convert to fraction form
    34,798.50/52,206.66 = 11,425.14/x
  3. Step 3: Cross multiply
    34,798.50x = 52,206.66 × 11,425.14
  4. Step 4: Simplify right side
    34,798.50x = 596,468,399.43
  5. Step 5: Solve for x
    x = 596,468,399.43/34,798.50
  6. Step 6: Final answer
    x = 17,140.64

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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.