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Finding the Fourth Proportional to 45,413.87, 62,688.59 and 34,116.14

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Solution

The fourth proportional to 45,413.87, 62,688.59 and 34,116.14 is: 47,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,413.87 : 62,688.59 = 34,116.14 : x
  2. Step 2: Convert to fraction form
    45,413.87/62,688.59 = 34,116.14/x
  3. Step 3: Cross multiply
    45,413.87x = 62,688.59 × 34,116.14
  4. Step 4: Simplify right side
    45,413.87x = 2,138,692,228.82
  5. Step 5: Solve for x
    x = 2,138,692,228.82/45,413.87
  6. Step 6: Final answer
    x = 47,093.38

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Why These Related Problems?

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