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Finding the Fourth Proportional to 53,794.50, 74,236.41 and 31,438.50

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Solution

The fourth proportional to 53,794.50, 74,236.41 and 31,438.50 is: 43,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.50 : 74,236.41 = 31,438.50 : x
  2. Step 2: Convert to fraction form
    53,794.50/74,236.41 = 31,438.50/x
  3. Step 3: Cross multiply
    53,794.50x = 74,236.41 × 31,438.50
  4. Step 4: Simplify right side
    53,794.50x = 2,333,881,375.79
  5. Step 5: Solve for x
    x = 2,333,881,375.79/53,794.50
  6. Step 6: Final answer
    x = 43,385.13

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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.