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Finding the Fourth Proportional to 52,859.94, 79,302.06 and 30,691.86

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Solution

The fourth proportional to 52,859.94, 79,302.06 and 30,691.86 is: 46,044.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,859.94 : 79,302.06 = 30,691.86 : x
  2. Step 2: Convert to fraction form
    52,859.94/79,302.06 = 30,691.86/x
  3. Step 3: Cross multiply
    52,859.94x = 79,302.06 × 30,691.86
  4. Step 4: Simplify right side
    52,859.94x = 2,433,927,723.23
  5. Step 5: Solve for x
    x = 2,433,927,723.23/52,859.94
  6. Step 6: Final answer
    x = 46,044.84

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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.