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Finding the Fourth Proportional to 96,257.24, 144,385.86 and 46,967

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Solution

The fourth proportional to 96,257.24, 144,385.86 and 46,967 is: 70,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,257.24 : 144,385.86 = 46,967 : x
  2. Step 2: Convert to fraction form
    96,257.24/144,385.86 = 46,967/x
  3. Step 3: Cross multiply
    96,257.24x = 144,385.86 × 46,967
  4. Step 4: Simplify right side
    96,257.24x = 6,781,370,686.62
  5. Step 5: Solve for x
    x = 6,781,370,686.62/96,257.24
  6. Step 6: Final answer
    x = 70,450.50

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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.