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Finding the Fourth Proportional to 34,088.10, 51,058.17 and 16,521

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Solution

The fourth proportional to 34,088.10, 51,058.17 and 16,521 is: 24,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,088.10 : 51,058.17 = 16,521 : x
  2. Step 2: Convert to fraction form
    34,088.10/51,058.17 = 16,521/x
  3. Step 3: Cross multiply
    34,088.10x = 51,058.17 × 16,521
  4. Step 4: Simplify right side
    34,088.10x = 843,532,026.57
  5. Step 5: Solve for x
    x = 843,532,026.57/34,088.10
  6. Step 6: Final answer
    x = 24,745.65

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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.