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Finding the Fourth Proportional to 32,102.06, 48,112.98 and 15,459

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Solution

The fourth proportional to 32,102.06, 48,112.98 and 15,459 is: 23,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.06 : 48,112.98 = 15,459 : x
  2. Step 2: Convert to fraction form
    32,102.06/48,112.98 = 15,459/x
  3. Step 3: Cross multiply
    32,102.06x = 48,112.98 × 15,459
  4. Step 4: Simplify right side
    32,102.06x = 743,778,557.82
  5. Step 5: Solve for x
    x = 743,778,557.82/32,102.06
  6. Step 6: Final answer
    x = 23,169.18

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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.