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Finding the Fourth Proportional to 67,857.41, 93,643.13 and 37,647.32

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Solution

The fourth proportional to 67,857.41, 93,643.13 and 37,647.32 is: 51,953.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857.41 : 93,643.13 = 37,647.32 : x
  2. Step 2: Convert to fraction form
    67,857.41/93,643.13 = 37,647.32/x
  3. Step 3: Cross multiply
    67,857.41x = 93,643.13 × 37,647.32
  4. Step 4: Simplify right side
    67,857.41x = 3,525,412,224.46
  5. Step 5: Solve for x
    x = 3,525,412,224.46/67,857.41
  6. Step 6: Final answer
    x = 51,953.24

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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.