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Finding the Fourth Proportional to 47,642.84, 71,413.84 and 16,022.80

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Solution

The fourth proportional to 47,642.84, 71,413.84 and 16,022.80 is: 24,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,642.84 : 71,413.84 = 16,022.80 : x
  2. Step 2: Convert to fraction form
    47,642.84/71,413.84 = 16,022.80/x
  3. Step 3: Cross multiply
    47,642.84x = 71,413.84 × 16,022.80
  4. Step 4: Simplify right side
    47,642.84x = 1,144,249,675.55
  5. Step 5: Solve for x
    x = 1,144,249,675.55/47,642.84
  6. Step 6: Final answer
    x = 24,017.24

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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.