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Finding the Fourth Proportional to 85,780.96, 128,675.54 and 41,445

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Solution

The fourth proportional to 85,780.96, 128,675.54 and 41,445 is: 62,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,780.96 : 128,675.54 = 41,445 : x
  2. Step 2: Convert to fraction form
    85,780.96/128,675.54 = 41,445/x
  3. Step 3: Cross multiply
    85,780.96x = 128,675.54 × 41,445
  4. Step 4: Simplify right side
    85,780.96x = 5,332,957,858.91
  5. Step 5: Solve for x
    x = 5,332,957,858.91/85,780.96
  6. Step 6: Final answer
    x = 62,169.48

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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.