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Finding the Fourth Proportional to 35,094.16, 52,581.84 and 21,214

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Solution

The fourth proportional to 35,094.16, 52,581.84 and 21,214 is: 31,785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,094.16 : 52,581.84 = 21,214 : x
  2. Step 2: Convert to fraction form
    35,094.16/52,581.84 = 21,214/x
  3. Step 3: Cross multiply
    35,094.16x = 52,581.84 × 21,214
  4. Step 4: Simplify right side
    35,094.16x = 1,115,471,153.76
  5. Step 5: Solve for x
    x = 1,115,471,153.76/35,094.16
  6. Step 6: Final answer
    x = 31,785.09

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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.