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Finding the Fourth Proportional to 67,350, 92,894.94 and 57,208.08

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Solution

The fourth proportional to 67,350, 92,894.94 and 57,208.08 is: 78,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,350 : 92,894.94 = 57,208.08 : x
  2. Step 2: Convert to fraction form
    67,350/92,894.94 = 57,208.08/x
  3. Step 3: Cross multiply
    67,350x = 92,894.94 × 57,208.08
  4. Step 4: Simplify right side
    67,350x = 5,314,341,159.12
  5. Step 5: Solve for x
    x = 5,314,341,159.12/67,350
  6. Step 6: Final answer
    x = 78,906.33

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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.