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Finding the Fourth Proportional to 71,269.82, 106,830.92 and 58,657.33

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Solution

The fourth proportional to 71,269.82, 106,830.92 and 58,657.33 is: 87,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.82 : 106,830.92 = 58,657.33 : x
  2. Step 2: Convert to fraction form
    71,269.82/106,830.92 = 58,657.33/x
  3. Step 3: Cross multiply
    71,269.82x = 106,830.92 × 58,657.33
  4. Step 4: Simplify right side
    71,269.82x = 6,266,416,408.21
  5. Step 5: Solve for x
    x = 6,266,416,408.21/71,269.82
  6. Step 6: Final answer
    x = 87,925.24

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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.