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Finding the Fourth Proportional to 64,298, 88,731.24 and 41,942

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Solution

The fourth proportional to 64,298, 88,731.24 and 41,942 is: 57,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,298 : 88,731.24 = 41,942 : x
  2. Step 2: Convert to fraction form
    64,298/88,731.24 = 41,942/x
  3. Step 3: Cross multiply
    64,298x = 88,731.24 × 41,942
  4. Step 4: Simplify right side
    64,298x = 3,721,565,668.08
  5. Step 5: Solve for x
    x = 3,721,565,668.08/64,298
  6. Step 6: Final answer
    x = 57,879.96

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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.