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Finding the Fourth Proportional to 39,687.36, 59,500.32 and 17,784

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Solution

The fourth proportional to 39,687.36, 59,500.32 and 17,784 is: 26,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687.36 : 59,500.32 = 17,784 : x
  2. Step 2: Convert to fraction form
    39,687.36/59,500.32 = 17,784/x
  3. Step 3: Cross multiply
    39,687.36x = 59,500.32 × 17,784
  4. Step 4: Simplify right side
    39,687.36x = 1,058,153,690.88
  5. Step 5: Solve for x
    x = 1,058,153,690.88/39,687.36
  6. Step 6: Final answer
    x = 26,662.23

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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.