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Finding the Fourth Proportional to 46,693.79, 70,041.17 and 13,413.79

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Solution

The fourth proportional to 46,693.79, 70,041.17 and 13,413.79 is: 20,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,693.79 : 70,041.17 = 13,413.79 : x
  2. Step 2: Convert to fraction form
    46,693.79/70,041.17 = 13,413.79/x
  3. Step 3: Cross multiply
    46,693.79x = 70,041.17 × 13,413.79
  4. Step 4: Simplify right side
    46,693.79x = 939,517,545.73
  5. Step 5: Solve for x
    x = 939,517,545.73/46,693.79
  6. Step 6: Final answer
    x = 20,120.82

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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.