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Finding the Fourth Proportional to 32,271.44, 48,416.36 and 10,085.13

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Solution

The fourth proportional to 32,271.44, 48,416.36 and 10,085.13 is: 15,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.44 : 48,416.36 = 10,085.13 : x
  2. Step 2: Convert to fraction form
    32,271.44/48,416.36 = 10,085.13/x
  3. Step 3: Cross multiply
    32,271.44x = 48,416.36 × 10,085.13
  4. Step 4: Simplify right side
    32,271.44x = 488,285,234.30
  5. Step 5: Solve for x
    x = 488,285,234.30/32,271.44
  6. Step 6: Final answer
    x = 15,130.57

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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.