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Finding the Fourth Proportional to 67,684.77, 101,416.19 and 47,927.86

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Solution

The fourth proportional to 67,684.77, 101,416.19 and 47,927.86 is: 71,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,684.77 : 101,416.19 = 47,927.86 : x
  2. Step 2: Convert to fraction form
    67,684.77/101,416.19 = 47,927.86/x
  3. Step 3: Cross multiply
    67,684.77x = 101,416.19 × 47,927.86
  4. Step 4: Simplify right side
    67,684.77x = 4,860,660,462.87
  5. Step 5: Solve for x
    x = 4,860,660,462.87/67,684.77
  6. Step 6: Final answer
    x = 71,813.21

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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.