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Finding the Fourth Proportional to 48,937.68, 67,535.60 and 27,716.50

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Solution

The fourth proportional to 48,937.68, 67,535.60 and 27,716.50 is: 38,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,937.68 : 67,535.60 = 27,716.50 : x
  2. Step 2: Convert to fraction form
    48,937.68/67,535.60 = 27,716.50/x
  3. Step 3: Cross multiply
    48,937.68x = 67,535.60 × 27,716.50
  4. Step 4: Simplify right side
    48,937.68x = 1,871,850,457.40
  5. Step 5: Solve for x
    x = 1,871,850,457.40/48,937.68
  6. Step 6: Final answer
    x = 38,249.68

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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.