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Finding the Fourth Proportional to 19,546.95, 29,320.15 and 4,755.90

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Solution

The fourth proportional to 19,546.95, 29,320.15 and 4,755.90 is: 7,133.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.95 : 29,320.15 = 4,755.90 : x
  2. Step 2: Convert to fraction form
    19,546.95/29,320.15 = 4,755.90/x
  3. Step 3: Cross multiply
    19,546.95x = 29,320.15 × 4,755.90
  4. Step 4: Simplify right side
    19,546.95x = 139,443,689.50
  5. Step 5: Solve for x
    x = 139,443,689.50/19,546.95
  6. Step 6: Final answer
    x = 7,133.78

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Why These Related Problems?

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