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Finding the Fourth Proportional to 29,098, 43,648.80 and 8,323.12

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Solution

The fourth proportional to 29,098, 43,648.80 and 8,323.12 is: 12,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,098 : 43,648.80 = 8,323.12 : x
  2. Step 2: Convert to fraction form
    29,098/43,648.80 = 8,323.12/x
  3. Step 3: Cross multiply
    29,098x = 43,648.80 × 8,323.12
  4. Step 4: Simplify right side
    29,098x = 363,294,200.26
  5. Step 5: Solve for x
    x = 363,294,200.26/29,098
  6. Step 6: Final answer
    x = 12,485.19

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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.