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Finding the Fourth Proportional to 48,985.26, 67,597.74 and 27,764.07

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Solution

The fourth proportional to 48,985.26, 67,597.74 and 27,764.07 is: 38,313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,985.26 : 67,597.74 = 27,764.07 : x
  2. Step 2: Convert to fraction form
    48,985.26/67,597.74 = 27,764.07/x
  3. Step 3: Cross multiply
    48,985.26x = 67,597.74 × 27,764.07
  4. Step 4: Simplify right side
    48,985.26x = 1,876,788,131.71
  5. Step 5: Solve for x
    x = 1,876,788,131.71/48,985.26
  6. Step 6: Final answer
    x = 38,313.33

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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.