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Finding the Fourth Proportional to 32,605.07, 48,889.24 and 10,413.23

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Solution

The fourth proportional to 32,605.07, 48,889.24 and 10,413.23 is: 15,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.07 : 48,889.24 = 10,413.23 : x
  2. Step 2: Convert to fraction form
    32,605.07/48,889.24 = 10,413.23/x
  3. Step 3: Cross multiply
    32,605.07x = 48,889.24 × 10,413.23
  4. Step 4: Simplify right side
    32,605.07x = 509,094,900.65
  5. Step 5: Solve for x
    x = 509,094,900.65/32,605.07
  6. Step 6: Final answer
    x = 15,613.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.