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Finding the Fourth Proportional to 39,315, 58,972.50 and 11,612.28

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Solution

The fourth proportional to 39,315, 58,972.50 and 11,612.28 is: 17,418.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,315 : 58,972.50 = 11,612.28 : x
  2. Step 2: Convert to fraction form
    39,315/58,972.50 = 11,612.28/x
  3. Step 3: Cross multiply
    39,315x = 58,972.50 × 11,612.28
  4. Step 4: Simplify right side
    39,315x = 684,805,182.30
  5. Step 5: Solve for x
    x = 684,805,182.30/39,315
  6. Step 6: Final answer
    x = 17,418.42

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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.