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Finding the Fourth Proportional to 32,446.98, 48,666.29 and 10,262.63

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Solution

The fourth proportional to 32,446.98, 48,666.29 and 10,262.63 is: 15,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.98 : 48,666.29 = 10,262.63 : x
  2. Step 2: Convert to fraction form
    32,446.98/48,666.29 = 10,262.63/x
  3. Step 3: Cross multiply
    32,446.98x = 48,666.29 × 10,262.63
  4. Step 4: Simplify right side
    32,446.98x = 499,444,198.10
  5. Step 5: Solve for x
    x = 499,444,198.10/32,446.98
  6. Step 6: Final answer
    x = 15,392.63

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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.