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Finding the Fourth Proportional to 102,361.30, 153,510.96 and 35,789.02

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Solution

The fourth proportional to 102,361.30, 153,510.96 and 35,789.02 is: 53,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,361.30 : 153,510.96 = 35,789.02 : x
  2. Step 2: Convert to fraction form
    102,361.30/153,510.96 = 35,789.02/x
  3. Step 3: Cross multiply
    102,361.30x = 153,510.96 × 35,789.02
  4. Step 4: Simplify right side
    102,361.30x = 5,494,006,817.66
  5. Step 5: Solve for x
    x = 5,494,006,817.66/102,361.30
  6. Step 6: Final answer
    x = 53,672.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.