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Finding the Fourth Proportional to 37,548.68, 51,815.12 and 21,413.62

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Solution

The fourth proportional to 37,548.68, 51,815.12 and 21,413.62 is: 29,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548.68 : 51,815.12 = 21,413.62 : x
  2. Step 2: Convert to fraction form
    37,548.68/51,815.12 = 21,413.62/x
  3. Step 3: Cross multiply
    37,548.68x = 51,815.12 × 21,413.62
  4. Step 4: Simplify right side
    37,548.68x = 1,109,549,289.93
  5. Step 5: Solve for x
    x = 1,109,549,289.93/37,548.68
  6. Step 6: Final answer
    x = 29,549.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.