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Finding the Fourth Proportional to 48,614, 67,087.37 and 26,258

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Solution

The fourth proportional to 48,614, 67,087.37 and 26,258 is: 36,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,614 : 67,087.37 = 26,258 : x
  2. Step 2: Convert to fraction form
    48,614/67,087.37 = 26,258/x
  3. Step 3: Cross multiply
    48,614x = 67,087.37 × 26,258
  4. Step 4: Simplify right side
    48,614x = 1,761,580,161.46
  5. Step 5: Solve for x
    x = 1,761,580,161.46/48,614
  6. Step 6: Final answer
    x = 36,236.07

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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.