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Finding the Fourth Proportional to 47,238.84, 70,869.24 and 16,074

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Solution

The fourth proportional to 47,238.84, 70,869.24 and 16,074 is: 24,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,238.84 : 70,869.24 = 16,074 : x
  2. Step 2: Convert to fraction form
    47,238.84/70,869.24 = 16,074/x
  3. Step 3: Cross multiply
    47,238.84x = 70,869.24 × 16,074
  4. Step 4: Simplify right side
    47,238.84x = 1,139,152,163.76
  5. Step 5: Solve for x
    x = 1,139,152,163.76/47,238.84
  6. Step 6: Final answer
    x = 24,114.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.