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Finding the Fourth Proportional to 40,537, 60,778.41 and 16,838.38

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Solution

The fourth proportional to 40,537, 60,778.41 and 16,838.38 is: 25,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,537 : 60,778.41 = 16,838.38 : x
  2. Step 2: Convert to fraction form
    40,537/60,778.41 = 16,838.38/x
  3. Step 3: Cross multiply
    40,537x = 60,778.41 × 16,838.38
  4. Step 4: Simplify right side
    40,537x = 1,023,409,963.38
  5. Step 5: Solve for x
    x = 1,023,409,963.38/40,537
  6. Step 6: Final answer
    x = 25,246.32

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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.