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Finding the Fourth Proportional to 86,601, 119,509.38 and 46,857

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Solution

The fourth proportional to 86,601, 119,509.38 and 46,857 is: 64,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,601 : 119,509.38 = 46,857 : x
  2. Step 2: Convert to fraction form
    86,601/119,509.38 = 46,857/x
  3. Step 3: Cross multiply
    86,601x = 119,509.38 × 46,857
  4. Step 4: Simplify right side
    86,601x = 5,599,851,018.66
  5. Step 5: Solve for x
    x = 5,599,851,018.66/86,601
  6. Step 6: Final answer
    x = 64,662.66

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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.