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Finding the Fourth Proportional to 32,876.48, 49,312.20 and 12,098

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Solution

The fourth proportional to 32,876.48, 49,312.20 and 12,098 is: 18,146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,876.48 : 49,312.20 = 12,098 : x
  2. Step 2: Convert to fraction form
    32,876.48/49,312.20 = 12,098/x
  3. Step 3: Cross multiply
    32,876.48x = 49,312.20 × 12,098
  4. Step 4: Simplify right side
    32,876.48x = 596,578,995.60
  5. Step 5: Solve for x
    x = 596,578,995.60/32,876.48
  6. Step 6: Final answer
    x = 18,146.07

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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.