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Finding the Fourth Proportional to 32,491.74, 48,723.03 and 14,952

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Solution

The fourth proportional to 32,491.74, 48,723.03 and 14,952 is: 22,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.74 : 48,723.03 = 14,952 : x
  2. Step 2: Convert to fraction form
    32,491.74/48,723.03 = 14,952/x
  3. Step 3: Cross multiply
    32,491.74x = 48,723.03 × 14,952
  4. Step 4: Simplify right side
    32,491.74x = 728,506,744.56
  5. Step 5: Solve for x
    x = 728,506,744.56/32,491.74
  6. Step 6: Final answer
    x = 22,421.29

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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.