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Finding the Fourth Proportional to 51,285.68, 76,899.66 and 35,294

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Solution

The fourth proportional to 51,285.68, 76,899.66 and 35,294 is: 52,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,285.68 : 76,899.66 = 35,294 : x
  2. Step 2: Convert to fraction form
    51,285.68/76,899.66 = 35,294/x
  3. Step 3: Cross multiply
    51,285.68x = 76,899.66 × 35,294
  4. Step 4: Simplify right side
    51,285.68x = 2,714,096,600.04
  5. Step 5: Solve for x
    x = 2,714,096,600.04/51,285.68
  6. Step 6: Final answer
    x = 52,921.14

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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.