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Finding the Fourth Proportional to 32,098.25, 48,144 and 9,912.35

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Solution

The fourth proportional to 32,098.25, 48,144 and 9,912.35 is: 14,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098.25 : 48,144 = 9,912.35 : x
  2. Step 2: Convert to fraction form
    32,098.25/48,144 = 9,912.35/x
  3. Step 3: Cross multiply
    32,098.25x = 48,144 × 9,912.35
  4. Step 4: Simplify right side
    32,098.25x = 477,220,178.40
  5. Step 5: Solve for x
    x = 477,220,178.40/32,098.25
  6. Step 6: Final answer
    x = 14,867.48

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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.