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Finding the Fourth Proportional to 52,421.24, 71,934.43 and 47,669.24

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Solution

The fourth proportional to 52,421.24, 71,934.43 and 47,669.24 is: 65,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,421.24 : 71,934.43 = 47,669.24 : x
  2. Step 2: Convert to fraction form
    52,421.24/71,934.43 = 47,669.24/x
  3. Step 3: Cross multiply
    52,421.24x = 71,934.43 × 47,669.24
  4. Step 4: Simplify right side
    52,421.24x = 3,429,059,607.93
  5. Step 5: Solve for x
    x = 3,429,059,607.93/52,421.24
  6. Step 6: Final answer
    x = 65,413.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.