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Finding the Fourth Proportional to 75,863.34, 113,827.80 and 29,105.28

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Solution

The fourth proportional to 75,863.34, 113,827.80 and 29,105.28 is: 43,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,863.34 : 113,827.80 = 29,105.28 : x
  2. Step 2: Convert to fraction form
    75,863.34/113,827.80 = 29,105.28/x
  3. Step 3: Cross multiply
    75,863.34x = 113,827.80 × 29,105.28
  4. Step 4: Simplify right side
    75,863.34x = 3,312,989,990.78
  5. Step 5: Solve for x
    x = 3,312,989,990.78/75,863.34
  6. Step 6: Final answer
    x = 43,670.50

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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.