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Finding the Fourth Proportional to 99,676.24, 149,543.20 and 29,557.20

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Solution

The fourth proportional to 99,676.24, 149,543.20 and 29,557.20 is: 44,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,676.24 : 149,543.20 = 29,557.20 : x
  2. Step 2: Convert to fraction form
    99,676.24/149,543.20 = 29,557.20/x
  3. Step 3: Cross multiply
    99,676.24x = 149,543.20 × 29,557.20
  4. Step 4: Simplify right side
    99,676.24x = 4,420,078,271.04
  5. Step 5: Solve for x
    x = 4,420,078,271.04/99,676.24
  6. Step 6: Final answer
    x = 44,344.35

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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.