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Finding the Fourth Proportional to 32,413.70, 48,512.55 and 23,503.70

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Solution

The fourth proportional to 32,413.70, 48,512.55 and 23,503.70 is: 35,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.70 : 48,512.55 = 23,503.70 : x
  2. Step 2: Convert to fraction form
    32,413.70/48,512.55 = 23,503.70/x
  3. Step 3: Cross multiply
    32,413.70x = 48,512.55 × 23,503.70
  4. Step 4: Simplify right side
    32,413.70x = 1,140,224,421.44
  5. Step 5: Solve for x
    x = 1,140,224,421.44/32,413.70
  6. Step 6: Final answer
    x = 35,177.24

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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.