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Finding the Fourth Proportional to 32,677.20, 49,018.87 and 12,951.14

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Solution

The fourth proportional to 32,677.20, 49,018.87 and 12,951.14 is: 19,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.20 : 49,018.87 = 12,951.14 : x
  2. Step 2: Convert to fraction form
    32,677.20/49,018.87 = 12,951.14/x
  3. Step 3: Cross multiply
    32,677.20x = 49,018.87 × 12,951.14
  4. Step 4: Simplify right side
    32,677.20x = 634,850,294.84
  5. Step 5: Solve for x
    x = 634,850,294.84/32,677.20
  6. Step 6: Final answer
    x = 19,427.93

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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.