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Finding the Fourth Proportional to 32,327.47, 48,491.21 and 8,953.91

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Solution

The fourth proportional to 32,327.47, 48,491.21 and 8,953.91 is: 13,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,327.47 : 48,491.21 = 8,953.91 : x
  2. Step 2: Convert to fraction form
    32,327.47/48,491.21 = 8,953.91/x
  3. Step 3: Cross multiply
    32,327.47x = 48,491.21 × 8,953.91
  4. Step 4: Simplify right side
    32,327.47x = 434,185,642.91
  5. Step 5: Solve for x
    x = 434,185,642.91/32,327.47
  6. Step 6: Final answer
    x = 13,430.86

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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.