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Finding the Fourth Proportional to 32,045.28, 48,059.82 and 9,550.77

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Solution

The fourth proportional to 32,045.28, 48,059.82 and 9,550.77 is: 14,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.28 : 48,059.82 = 9,550.77 : x
  2. Step 2: Convert to fraction form
    32,045.28/48,059.82 = 9,550.77/x
  3. Step 3: Cross multiply
    32,045.28x = 48,059.82 × 9,550.77
  4. Step 4: Simplify right side
    32,045.28x = 459,008,287.06
  5. Step 5: Solve for x
    x = 459,008,287.06/32,045.28
  6. Step 6: Final answer
    x = 14,323.74

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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.