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Finding the Fourth Proportional to 51,881.60, 71,583.60 and 29,216

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Solution

The fourth proportional to 51,881.60, 71,583.60 and 29,216 is: 40,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,881.60 : 71,583.60 = 29,216 : x
  2. Step 2: Convert to fraction form
    51,881.60/71,583.60 = 29,216/x
  3. Step 3: Cross multiply
    51,881.60x = 71,583.60 × 29,216
  4. Step 4: Simplify right side
    51,881.60x = 2,091,386,457.60
  5. Step 5: Solve for x
    x = 2,091,386,457.60/51,881.60
  6. Step 6: Final answer
    x = 40,310.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.