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Finding the Fourth Proportional to 47,638.94, 71,432.84 and 16,038.46

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Solution

The fourth proportional to 47,638.94, 71,432.84 and 16,038.46 is: 24,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,638.94 : 71,432.84 = 16,038.46 : x
  2. Step 2: Convert to fraction form
    47,638.94/71,432.84 = 16,038.46/x
  3. Step 3: Cross multiply
    47,638.94x = 71,432.84 × 16,038.46
  4. Step 4: Simplify right side
    47,638.94x = 1,145,672,384.39
  5. Step 5: Solve for x
    x = 1,145,672,384.39/47,638.94
  6. Step 6: Final answer
    x = 24,049.08

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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.