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Finding the Fourth Proportional to 55,413.32, 76,471.62 and 33,053

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Solution

The fourth proportional to 55,413.32, 76,471.62 and 33,053 is: 45,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,413.32 : 76,471.62 = 33,053 : x
  2. Step 2: Convert to fraction form
    55,413.32/76,471.62 = 33,053/x
  3. Step 3: Cross multiply
    55,413.32x = 76,471.62 × 33,053
  4. Step 4: Simplify right side
    55,413.32x = 2,527,616,455.86
  5. Step 5: Solve for x
    x = 2,527,616,455.86/55,413.32
  6. Step 6: Final answer
    x = 45,613.88

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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.