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Finding the Fourth Proportional to 48,906, 67,495.68 and 27,685.08

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Solution

The fourth proportional to 48,906, 67,495.68 and 27,685.08 is: 38,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,906 : 67,495.68 = 27,685.08 : x
  2. Step 2: Convert to fraction form
    48,906/67,495.68 = 27,685.08/x
  3. Step 3: Cross multiply
    48,906x = 67,495.68 × 27,685.08
  4. Step 4: Simplify right side
    48,906x = 1,868,623,300.45
  5. Step 5: Solve for x
    x = 1,868,623,300.45/48,906
  6. Step 6: Final answer
    x = 38,208.47

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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.