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Finding the Fourth Proportional to 51,193.38, 70,648.29 and 29,973.54

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Solution

The fourth proportional to 51,193.38, 70,648.29 and 29,973.54 is: 41,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,193.38 : 70,648.29 = 29,973.54 : x
  2. Step 2: Convert to fraction form
    51,193.38/70,648.29 = 29,973.54/x
  3. Step 3: Cross multiply
    51,193.38x = 70,648.29 × 29,973.54
  4. Step 4: Simplify right side
    51,193.38x = 2,117,579,346.25
  5. Step 5: Solve for x
    x = 2,117,579,346.25/51,193.38
  6. Step 6: Final answer
    x = 41,364.32

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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.