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Finding the Fourth Proportional to 32,137.17, 48,208.05 and 9,947.70

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Solution

The fourth proportional to 32,137.17, 48,208.05 and 9,947.70 is: 14,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,137.17 : 48,208.05 = 9,947.70 : x
  2. Step 2: Convert to fraction form
    32,137.17/48,208.05 = 9,947.70/x
  3. Step 3: Cross multiply
    32,137.17x = 48,208.05 × 9,947.70
  4. Step 4: Simplify right side
    32,137.17x = 479,559,218.99
  5. Step 5: Solve for x
    x = 479,559,218.99/32,137.17
  6. Step 6: Final answer
    x = 14,922.26

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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.