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Finding the Fourth Proportional to 82,569.80, 113,993.62 and 54,357.50

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Solution

The fourth proportional to 82,569.80, 113,993.62 and 54,357.50 is: 75,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,569.80 : 113,993.62 = 54,357.50 : x
  2. Step 2: Convert to fraction form
    82,569.80/113,993.62 = 54,357.50/x
  3. Step 3: Cross multiply
    82,569.80x = 113,993.62 × 54,357.50
  4. Step 4: Simplify right side
    82,569.80x = 6,196,408,199.15
  5. Step 5: Solve for x
    x = 6,196,408,199.15/82,569.80
  6. Step 6: Final answer
    x = 75,044.49

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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.