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Finding the Fourth Proportional to 78,066.92, 107,784.38 and 52,611.14

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Solution

The fourth proportional to 78,066.92, 107,784.38 and 52,611.14 is: 72,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,066.92 : 107,784.38 = 52,611.14 : x
  2. Step 2: Convert to fraction form
    78,066.92/107,784.38 = 52,611.14/x
  3. Step 3: Cross multiply
    78,066.92x = 107,784.38 × 52,611.14
  4. Step 4: Simplify right side
    78,066.92x = 5,670,659,506.98
  5. Step 5: Solve for x
    x = 5,670,659,506.98/78,066.92
  6. Step 6: Final answer
    x = 72,638.44

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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.