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Finding the Fourth Proportional to 76,093.19, 105,045.21 and 50,641.91

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Solution

The fourth proportional to 76,093.19, 105,045.21 and 50,641.91 is: 69,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,093.19 : 105,045.21 = 50,641.91 : x
  2. Step 2: Convert to fraction form
    76,093.19/105,045.21 = 50,641.91/x
  3. Step 3: Cross multiply
    76,093.19x = 105,045.21 × 50,641.91
  4. Step 4: Simplify right side
    76,093.19x = 5,319,690,070.75
  5. Step 5: Solve for x
    x = 5,319,690,070.75/76,093.19
  6. Step 6: Final answer
    x = 69,910.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.