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Finding the Fourth Proportional to 52,938.90, 73,058.31 and 29,065.38

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Solution

The fourth proportional to 52,938.90, 73,058.31 and 29,065.38 is: 40,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,938.90 : 73,058.31 = 29,065.38 : x
  2. Step 2: Convert to fraction form
    52,938.90/73,058.31 = 29,065.38/x
  3. Step 3: Cross multiply
    52,938.90x = 73,058.31 × 29,065.38
  4. Step 4: Simplify right side
    52,938.90x = 2,123,467,542.31
  5. Step 5: Solve for x
    x = 2,123,467,542.31/52,938.90
  6. Step 6: Final answer
    x = 40,111.67

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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.