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Finding the Fourth Proportional to 48,287.71, 72,413.74 and 16,689.71

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Solution

The fourth proportional to 48,287.71, 72,413.74 and 16,689.71 is: 25,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,287.71 : 72,413.74 = 16,689.71 : x
  2. Step 2: Convert to fraction form
    48,287.71/72,413.74 = 16,689.71/x
  3. Step 3: Cross multiply
    48,287.71x = 72,413.74 × 16,689.71
  4. Step 4: Simplify right side
    48,287.71x = 1,208,564,320.62
  5. Step 5: Solve for x
    x = 1,208,564,320.62/48,287.71
  6. Step 6: Final answer
    x = 25,028.40

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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.