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Finding the Fourth Proportional to 37,252, 51,396.24 and 24,683.68

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Solution

The fourth proportional to 37,252, 51,396.24 and 24,683.68 is: 34,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,252 : 51,396.24 = 24,683.68 : x
  2. Step 2: Convert to fraction form
    37,252/51,396.24 = 24,683.68/x
  3. Step 3: Cross multiply
    37,252x = 51,396.24 × 24,683.68
  4. Step 4: Simplify right side
    37,252x = 1,268,648,341.36
  5. Step 5: Solve for x
    x = 1,268,648,341.36/37,252
  6. Step 6: Final answer
    x = 34,055.85

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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.