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Finding the Fourth Proportional to 32,094.98, 48,147.06 and 9,910.25

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Solution

The fourth proportional to 32,094.98, 48,147.06 and 9,910.25 is: 14,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.98 : 48,147.06 = 9,910.25 : x
  2. Step 2: Convert to fraction form
    32,094.98/48,147.06 = 9,910.25/x
  3. Step 3: Cross multiply
    32,094.98x = 48,147.06 × 9,910.25
  4. Step 4: Simplify right side
    32,094.98x = 477,149,160.63
  5. Step 5: Solve for x
    x = 477,149,160.63/32,094.98
  6. Step 6: Final answer
    x = 14,866.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.