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Finding the Fourth Proportional to 55,702.14, 83,533.75 and 22,413.56

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Solution

The fourth proportional to 55,702.14, 83,533.75 and 22,413.56 is: 33,612.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.14 : 83,533.75 = 22,413.56 : x
  2. Step 2: Convert to fraction form
    55,702.14/83,533.75 = 22,413.56/x
  3. Step 3: Cross multiply
    55,702.14x = 83,533.75 × 22,413.56
  4. Step 4: Simplify right side
    55,702.14x = 1,872,288,717.65
  5. Step 5: Solve for x
    x = 1,872,288,717.65/55,702.14
  6. Step 6: Final answer
    x = 33,612.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.