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Finding the Fourth Proportional to 71,118.91, 106,730.87 and 33,678.93

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Solution

The fourth proportional to 71,118.91, 106,730.87 and 33,678.93 is: 50,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,118.91 : 106,730.87 = 33,678.93 : x
  2. Step 2: Convert to fraction form
    71,118.91/106,730.87 = 33,678.93/x
  3. Step 3: Cross multiply
    71,118.91x = 106,730.87 × 33,678.93
  4. Step 4: Simplify right side
    71,118.91x = 3,594,580,894.02
  5. Step 5: Solve for x
    x = 3,594,580,894.02/71,118.91
  6. Step 6: Final answer
    x = 50,543.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.