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Finding the Fourth Proportional to 35,702.50, 49,269.12 and 19,786.54

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Solution

The fourth proportional to 35,702.50, 49,269.12 and 19,786.54 is: 27,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.50 : 49,269.12 = 19,786.54 : x
  2. Step 2: Convert to fraction form
    35,702.50/49,269.12 = 19,786.54/x
  3. Step 3: Cross multiply
    35,702.50x = 49,269.12 × 19,786.54
  4. Step 4: Simplify right side
    35,702.50x = 974,865,413.64
  5. Step 5: Solve for x
    x = 974,865,413.64/35,702.50
  6. Step 6: Final answer
    x = 27,305.24

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1.5x scale

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.