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Finding the Fourth Proportional to 96,255.24, 144,382.86 and 46,965

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Solution

The fourth proportional to 96,255.24, 144,382.86 and 46,965 is: 70,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,255.24 : 144,382.86 = 46,965 : x
  2. Step 2: Convert to fraction form
    96,255.24/144,382.86 = 46,965/x
  3. Step 3: Cross multiply
    96,255.24x = 144,382.86 × 46,965
  4. Step 4: Simplify right side
    96,255.24x = 6,780,941,019.90
  5. Step 5: Solve for x
    x = 6,780,941,019.90/96,255.24
  6. Step 6: Final answer
    x = 70,447.50

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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.