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Finding the Fourth Proportional to 32,271.41, 48,416.33 and 10,085.11

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Solution

The fourth proportional to 32,271.41, 48,416.33 and 10,085.11 is: 15,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,271.41 : 48,416.33 = 10,085.11 : x
  2. Step 2: Convert to fraction form
    32,271.41/48,416.33 = 10,085.11/x
  3. Step 3: Cross multiply
    32,271.41x = 48,416.33 × 10,085.11
  4. Step 4: Simplify right side
    32,271.41x = 488,283,918.02
  5. Step 5: Solve for x
    x = 488,283,918.02/32,271.41
  6. Step 6: Final answer
    x = 15,130.54

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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.