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Finding the Fourth Proportional to 82,911.50, 124,355.12 and 40,780.29

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Solution

The fourth proportional to 82,911.50, 124,355.12 and 40,780.29 is: 61,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911.50 : 124,355.12 = 40,780.29 : x
  2. Step 2: Convert to fraction form
    82,911.50/124,355.12 = 40,780.29/x
  3. Step 3: Cross multiply
    82,911.50x = 124,355.12 × 40,780.29
  4. Step 4: Simplify right side
    82,911.50x = 5,071,237,413.85
  5. Step 5: Solve for x
    x = 5,071,237,413.85/82,911.50
  6. Step 6: Final answer
    x = 61,164.46

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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.