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Finding the Fourth Proportional to 29,881.78, 44,822.36 and 7,695.07

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Solution

The fourth proportional to 29,881.78, 44,822.36 and 7,695.07 is: 11,542.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,881.78 : 44,822.36 = 7,695.07 : x
  2. Step 2: Convert to fraction form
    29,881.78/44,822.36 = 7,695.07/x
  3. Step 3: Cross multiply
    29,881.78x = 44,822.36 × 7,695.07
  4. Step 4: Simplify right side
    29,881.78x = 344,911,104.95
  5. Step 5: Solve for x
    x = 344,911,104.95/29,881.78
  6. Step 6: Final answer
    x = 11,542.52

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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.