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Finding the Fourth Proportional to 32,068.49, 48,107.25 and 9,883.67

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Solution

The fourth proportional to 32,068.49, 48,107.25 and 9,883.67 is: 14,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,068.49 : 48,107.25 = 9,883.67 : x
  2. Step 2: Convert to fraction form
    32,068.49/48,107.25 = 9,883.67/x
  3. Step 3: Cross multiply
    32,068.49x = 48,107.25 × 9,883.67
  4. Step 4: Simplify right side
    32,068.49x = 475,475,943.07
  5. Step 5: Solve for x
    x = 475,475,943.07/32,068.49
  6. Step 6: Final answer
    x = 14,826.89

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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.