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Finding the Fourth Proportional to 72,712.84, 109,070.64 and 22,791.84

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Solution

The fourth proportional to 72,712.84, 109,070.64 and 22,791.84 is: 34,188.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,712.84 : 109,070.64 = 22,791.84 : x
  2. Step 2: Convert to fraction form
    72,712.84/109,070.64 = 22,791.84/x
  3. Step 3: Cross multiply
    72,712.84x = 109,070.64 × 22,791.84
  4. Step 4: Simplify right side
    72,712.84x = 2,485,920,575.58
  5. Step 5: Solve for x
    x = 2,485,920,575.58/72,712.84
  6. Step 6: Final answer
    x = 34,188.19

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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.