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Finding the Fourth Proportional to 32,278.84, 48,416.38 and 14,504.91

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Solution

The fourth proportional to 32,278.84, 48,416.38 and 14,504.91 is: 21,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278.84 : 48,416.38 = 14,504.91 : x
  2. Step 2: Convert to fraction form
    32,278.84/48,416.38 = 14,504.91/x
  3. Step 3: Cross multiply
    32,278.84x = 48,416.38 × 14,504.91
  4. Step 4: Simplify right side
    32,278.84x = 702,275,016.60
  5. Step 5: Solve for x
    x = 702,275,016.60/32,278.84
  6. Step 6: Final answer
    x = 21,756.52

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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.