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Finding the Fourth Proportional to 75,000.10, 103,500.12 and 43,175.20

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Solution

The fourth proportional to 75,000.10, 103,500.12 and 43,175.20 is: 59,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000.10 : 103,500.12 = 43,175.20 : x
  2. Step 2: Convert to fraction form
    75,000.10/103,500.12 = 43,175.20/x
  3. Step 3: Cross multiply
    75,000.10x = 103,500.12 × 43,175.20
  4. Step 4: Simplify right side
    75,000.10x = 4,468,638,381.02
  5. Step 5: Solve for x
    x = 4,468,638,381.02/75,000.10
  6. Step 6: Final answer
    x = 59,581.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.