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Finding the Fourth Proportional to 39,981.50, 55,179.34 and 23,214.50

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Solution

The fourth proportional to 39,981.50, 55,179.34 and 23,214.50 is: 32,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,981.50 : 55,179.34 = 23,214.50 : x
  2. Step 2: Convert to fraction form
    39,981.50/55,179.34 = 23,214.50/x
  3. Step 3: Cross multiply
    39,981.50x = 55,179.34 × 23,214.50
  4. Step 4: Simplify right side
    39,981.50x = 1,280,960,788.43
  5. Step 5: Solve for x
    x = 1,280,960,788.43/39,981.50
  6. Step 6: Final answer
    x = 32,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.