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Finding the Fourth Proportional to 47,677.68, 65,803.02 and 26,463.76

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Solution

The fourth proportional to 47,677.68, 65,803.02 and 26,463.76 is: 36,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.68 : 65,803.02 = 26,463.76 : x
  2. Step 2: Convert to fraction form
    47,677.68/65,803.02 = 26,463.76/x
  3. Step 3: Cross multiply
    47,677.68x = 65,803.02 × 26,463.76
  4. Step 4: Simplify right side
    47,677.68x = 1,741,395,328.56
  5. Step 5: Solve for x
    x = 1,741,395,328.56/47,677.68
  6. Step 6: Final answer
    x = 36,524.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.