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Finding the Fourth Proportional to 96,380.98, 144,620.88 and 46,503.61

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Solution

The fourth proportional to 96,380.98, 144,620.88 and 46,503.61 is: 69,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,380.98 : 144,620.88 = 46,503.61 : x
  2. Step 2: Convert to fraction form
    96,380.98/144,620.88 = 46,503.61/x
  3. Step 3: Cross multiply
    96,380.98x = 144,620.88 × 46,503.61
  4. Step 4: Simplify right side
    96,380.98x = 6,725,392,278.27
  5. Step 5: Solve for x
    x = 6,725,392,278.27/96,380.98
  6. Step 6: Final answer
    x = 69,779.25

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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.