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Finding the Fourth Proportional to 75,082.34, 103,612.24 and 41,090.15

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Solution

The fourth proportional to 75,082.34, 103,612.24 and 41,090.15 is: 56,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082.34 : 103,612.24 = 41,090.15 : x
  2. Step 2: Convert to fraction form
    75,082.34/103,612.24 = 41,090.15/x
  3. Step 3: Cross multiply
    75,082.34x = 103,612.24 × 41,090.15
  4. Step 4: Simplify right side
    75,082.34x = 4,257,442,483.44
  5. Step 5: Solve for x
    x = 4,257,442,483.44/75,082.34
  6. Step 6: Final answer
    x = 56,703.65

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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.