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Finding the Fourth Proportional to 34,560, 51,883.56 and 29,398.68

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Solution

The fourth proportional to 34,560, 51,883.56 and 29,398.68 is: 44,135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,560 : 51,883.56 = 29,398.68 : x
  2. Step 2: Convert to fraction form
    34,560/51,883.56 = 29,398.68/x
  3. Step 3: Cross multiply
    34,560x = 51,883.56 × 29,398.68
  4. Step 4: Simplify right side
    34,560x = 1,525,308,177.70
  5. Step 5: Solve for x
    x = 1,525,308,177.70/34,560
  6. Step 6: Final answer
    x = 44,135.07

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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.