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Finding the Fourth Proportional to 32,466.40, 48,699.32 and 10,279.80

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Solution

The fourth proportional to 32,466.40, 48,699.32 and 10,279.80 is: 15,419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,466.40 : 48,699.32 = 10,279.80 : x
  2. Step 2: Convert to fraction form
    32,466.40/48,699.32 = 10,279.80/x
  3. Step 3: Cross multiply
    32,466.40x = 48,699.32 × 10,279.80
  4. Step 4: Simplify right side
    32,466.40x = 500,619,269.74
  5. Step 5: Solve for x
    x = 500,619,269.74/32,466.40
  6. Step 6: Final answer
    x = 15,419.61

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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.