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Finding the Fourth Proportional to 69,863.16, 96,413.70 and 38,033.16

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Solution

The fourth proportional to 69,863.16, 96,413.70 and 38,033.16 is: 52,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,863.16 : 96,413.70 = 38,033.16 : x
  2. Step 2: Convert to fraction form
    69,863.16/96,413.70 = 38,033.16/x
  3. Step 3: Cross multiply
    69,863.16x = 96,413.70 × 38,033.16
  4. Step 4: Simplify right side
    69,863.16x = 3,666,917,678.29
  5. Step 5: Solve for x
    x = 3,666,917,678.29/69,863.16
  6. Step 6: Final answer
    x = 52,487.14

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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.