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Finding the Fourth Proportional to 75,537.72, 104,242.14 and 42,003

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Solution

The fourth proportional to 75,537.72, 104,242.14 and 42,003 is: 57,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537.72 : 104,242.14 = 42,003 : x
  2. Step 2: Convert to fraction form
    75,537.72/104,242.14 = 42,003/x
  3. Step 3: Cross multiply
    75,537.72x = 104,242.14 × 42,003
  4. Step 4: Simplify right side
    75,537.72x = 4,378,482,606.42
  5. Step 5: Solve for x
    x = 4,378,482,606.42/75,537.72
  6. Step 6: Final answer
    x = 57,964.19

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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.