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Finding the Fourth Proportional to 34,164.40, 51,241.92 and 9,205.60

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Solution

The fourth proportional to 34,164.40, 51,241.92 and 9,205.60 is: 13,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.40 : 51,241.92 = 9,205.60 : x
  2. Step 2: Convert to fraction form
    34,164.40/51,241.92 = 9,205.60/x
  3. Step 3: Cross multiply
    34,164.40x = 51,241.92 × 9,205.60
  4. Step 4: Simplify right side
    34,164.40x = 471,712,618.75
  5. Step 5: Solve for x
    x = 471,712,618.75/34,164.40
  6. Step 6: Final answer
    x = 13,807.14

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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.