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Finding the Fourth Proportional to 32,914.08, 49,356 and 12,123

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Solution

The fourth proportional to 32,914.08, 49,356 and 12,123 is: 18,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.08 : 49,356 = 12,123 : x
  2. Step 2: Convert to fraction form
    32,914.08/49,356 = 12,123/x
  3. Step 3: Cross multiply
    32,914.08x = 49,356 × 12,123
  4. Step 4: Simplify right side
    32,914.08x = 598,342,788
  5. Step 5: Solve for x
    x = 598,342,788/32,914.08
  6. Step 6: Final answer
    x = 18,178.93

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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.