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Finding the Fourth Proportional to 84,074.96, 126,125.40 and 28,658

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Solution

The fourth proportional to 84,074.96, 126,125.40 and 28,658 is: 42,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,074.96 : 126,125.40 = 28,658 : x
  2. Step 2: Convert to fraction form
    84,074.96/126,125.40 = 28,658/x
  3. Step 3: Cross multiply
    84,074.96x = 126,125.40 × 28,658
  4. Step 4: Simplify right side
    84,074.96x = 3,614,501,713.20
  5. Step 5: Solve for x
    x = 3,614,501,713.20/84,074.96
  6. Step 6: Final answer
    x = 42,991.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.