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Finding the Fourth Proportional to 32,845.50, 45,413.19 and 31,376.70

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Solution

The fourth proportional to 32,845.50, 45,413.19 and 31,376.70 is: 43,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,845.50 : 45,413.19 = 31,376.70 : x
  2. Step 2: Convert to fraction form
    32,845.50/45,413.19 = 31,376.70/x
  3. Step 3: Cross multiply
    32,845.50x = 45,413.19 × 31,376.70
  4. Step 4: Simplify right side
    32,845.50x = 1,424,916,038.67
  5. Step 5: Solve for x
    x = 1,424,916,038.67/32,845.50
  6. Step 6: Final answer
    x = 43,382.38

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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.