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Finding the Fourth Proportional to 34,204, 51,308.88 and 9,580

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Solution

The fourth proportional to 34,204, 51,308.88 and 9,580 is: 14,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204 : 51,308.88 = 9,580 : x
  2. Step 2: Convert to fraction form
    34,204/51,308.88 = 9,580/x
  3. Step 3: Cross multiply
    34,204x = 51,308.88 × 9,580
  4. Step 4: Simplify right side
    34,204x = 491,539,070.40
  5. Step 5: Solve for x
    x = 491,539,070.40/34,204
  6. Step 6: Final answer
    x = 14,370.81

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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.