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Finding the Fourth Proportional to 32,476.77, 48,716.51 and 10,289.66

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Solution

The fourth proportional to 32,476.77, 48,716.51 and 10,289.66 is: 15,434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.77 : 48,716.51 = 10,289.66 : x
  2. Step 2: Convert to fraction form
    32,476.77/48,716.51 = 10,289.66/x
  3. Step 3: Cross multiply
    32,476.77x = 48,716.51 × 10,289.66
  4. Step 4: Simplify right side
    32,476.77x = 501,276,029.26
  5. Step 5: Solve for x
    x = 501,276,029.26/32,476.77
  6. Step 6: Final answer
    x = 15,434.91

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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.