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Finding the Fourth Proportional to 96,381.98, 144,622.38 and 46,504.61

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Solution

The fourth proportional to 96,381.98, 144,622.38 and 46,504.61 is: 69,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,381.98 : 144,622.38 = 46,504.61 : x
  2. Step 2: Convert to fraction form
    96,381.98/144,622.38 = 46,504.61/x
  3. Step 3: Cross multiply
    96,381.98x = 144,622.38 × 46,504.61
  4. Step 4: Simplify right side
    96,381.98x = 6,725,606,656.06
  5. Step 5: Solve for x
    x = 6,725,606,656.06/96,381.98
  6. Step 6: Final answer
    x = 69,780.75

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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.