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Finding the Fourth Proportional to 64,218, 88,620.84 and 41,862

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Solution

The fourth proportional to 64,218, 88,620.84 and 41,862 is: 57,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,218 : 88,620.84 = 41,862 : x
  2. Step 2: Convert to fraction form
    64,218/88,620.84 = 41,862/x
  3. Step 3: Cross multiply
    64,218x = 88,620.84 × 41,862
  4. Step 4: Simplify right side
    64,218x = 3,709,845,604.08
  5. Step 5: Solve for x
    x = 3,709,845,604.08/64,218
  6. Step 6: Final answer
    x = 57,769.56

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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.