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Finding the Fourth Proportional to 32,256.30, 48,384.45 and 8,563.80

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Solution

The fourth proportional to 32,256.30, 48,384.45 and 8,563.80 is: 12,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256.30 : 48,384.45 = 8,563.80 : x
  2. Step 2: Convert to fraction form
    32,256.30/48,384.45 = 8,563.80/x
  3. Step 3: Cross multiply
    32,256.30x = 48,384.45 × 8,563.80
  4. Step 4: Simplify right side
    32,256.30x = 414,354,752.91
  5. Step 5: Solve for x
    x = 414,354,752.91/32,256.30
  6. Step 6: Final answer
    x = 12,845.70

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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.