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Finding the Fourth Proportional to 32,597.41, 48,893.68 and 10,413.13

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Solution

The fourth proportional to 32,597.41, 48,893.68 and 10,413.13 is: 15,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,597.41 : 48,893.68 = 10,413.13 : x
  2. Step 2: Convert to fraction form
    32,597.41/48,893.68 = 10,413.13/x
  3. Step 3: Cross multiply
    32,597.41x = 48,893.68 × 10,413.13
  4. Step 4: Simplify right side
    32,597.41x = 509,135,975.52
  5. Step 5: Solve for x
    x = 509,135,975.52/32,597.41
  6. Step 6: Final answer
    x = 15,618.91

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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.