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Finding the Fourth Proportional to 42,662.17, 64,002.58 and 13,082.31

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Solution

The fourth proportional to 42,662.17, 64,002.58 and 13,082.31 is: 19,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.17 : 64,002.58 = 13,082.31 : x
  2. Step 2: Convert to fraction form
    42,662.17/64,002.58 = 13,082.31/x
  3. Step 3: Cross multiply
    42,662.17x = 64,002.58 × 13,082.31
  4. Step 4: Simplify right side
    42,662.17x = 837,301,272.35
  5. Step 5: Solve for x
    x = 837,301,272.35/42,662.17
  6. Step 6: Final answer
    x = 19,626.32

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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.