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Finding the Fourth Proportional to 52,684.42, 72,704.49 and 28,811.11

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Solution

The fourth proportional to 52,684.42, 72,704.49 and 28,811.11 is: 39,759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,684.42 : 72,704.49 = 28,811.11 : x
  2. Step 2: Convert to fraction form
    52,684.42/72,704.49 = 28,811.11/x
  3. Step 3: Cross multiply
    52,684.42x = 72,704.49 × 28,811.11
  4. Step 4: Simplify right side
    52,684.42x = 2,094,697,058.88
  5. Step 5: Solve for x
    x = 2,094,697,058.88/52,684.42
  6. Step 6: Final answer
    x = 39,759.33

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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.