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Finding the Fourth Proportional to 67,083.88, 100,638.42 and 32,026

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Solution

The fourth proportional to 67,083.88, 100,638.42 and 32,026 is: 48,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,083.88 : 100,638.42 = 32,026 : x
  2. Step 2: Convert to fraction form
    67,083.88/100,638.42 = 32,026/x
  3. Step 3: Cross multiply
    67,083.88x = 100,638.42 × 32,026
  4. Step 4: Simplify right side
    67,083.88x = 3,223,046,038.92
  5. Step 5: Solve for x
    x = 3,223,046,038.92/67,083.88
  6. Step 6: Final answer
    x = 48,045.02

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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.