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Finding the Fourth Proportional to 39,864, 59,766.03 and 24,074.40

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Solution

The fourth proportional to 39,864, 59,766.03 and 24,074.40 is: 36,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,864 : 59,766.03 = 24,074.40 : x
  2. Step 2: Convert to fraction form
    39,864/59,766.03 = 24,074.40/x
  3. Step 3: Cross multiply
    39,864x = 59,766.03 × 24,074.40
  4. Step 4: Simplify right side
    39,864x = 1,438,831,312.63
  5. Step 5: Solve for x
    x = 1,438,831,312.63/39,864
  6. Step 6: Final answer
    x = 36,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.