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Finding the Fourth Proportional to 32,413.50, 48,634.89 and 18,562.50

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Solution

The fourth proportional to 32,413.50, 48,634.89 and 18,562.50 is: 27,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.50 : 48,634.89 = 18,562.50 : x
  2. Step 2: Convert to fraction form
    32,413.50/48,634.89 = 18,562.50/x
  3. Step 3: Cross multiply
    32,413.50x = 48,634.89 × 18,562.50
  4. Step 4: Simplify right side
    32,413.50x = 902,785,145.63
  5. Step 5: Solve for x
    x = 902,785,145.63/32,413.50
  6. Step 6: Final answer
    x = 27,852.13

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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.