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Finding the Fourth Proportional to 114,652.96, 171,959.28 and 30,413.92

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Solution

The fourth proportional to 114,652.96, 171,959.28 and 30,413.92 is: 45,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,652.96 : 171,959.28 = 30,413.92 : x
  2. Step 2: Convert to fraction form
    114,652.96/171,959.28 = 30,413.92/x
  3. Step 3: Cross multiply
    114,652.96x = 171,959.28 × 30,413.92
  4. Step 4: Simplify right side
    114,652.96x = 5,229,955,785.18
  5. Step 5: Solve for x
    x = 5,229,955,785.18/114,652.96
  6. Step 6: Final answer
    x = 45,615.53

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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.