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Finding the Fourth Proportional to 32,413.62, 48,523.23 and 23,056.50

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Solution

The fourth proportional to 32,413.62, 48,523.23 and 23,056.50 is: 34,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.62 : 48,523.23 = 23,056.50 : x
  2. Step 2: Convert to fraction form
    32,413.62/48,523.23 = 23,056.50/x
  3. Step 3: Cross multiply
    32,413.62x = 48,523.23 × 23,056.50
  4. Step 4: Simplify right side
    32,413.62x = 1,118,775,852.50
  5. Step 5: Solve for x
    x = 1,118,775,852.50/32,413.62
  6. Step 6: Final answer
    x = 34,515.61

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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.