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Finding the Fourth Proportional to 61,413.28, 91,972.29 and 35,038.06

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Solution

The fourth proportional to 61,413.28, 91,972.29 and 35,038.06 is: 52,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,413.28 : 91,972.29 = 35,038.06 : x
  2. Step 2: Convert to fraction form
    61,413.28/91,972.29 = 35,038.06/x
  3. Step 3: Cross multiply
    61,413.28x = 91,972.29 × 35,038.06
  4. Step 4: Simplify right side
    61,413.28x = 3,222,530,516.82
  5. Step 5: Solve for x
    x = 3,222,530,516.82/61,413.28
  6. Step 6: Final answer
    x = 52,472.86

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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.