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Finding the Fourth Proportional to 102,961, 154,439.84 and 32,839.84

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Solution

The fourth proportional to 102,961, 154,439.84 and 32,839.84 is: 49,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,961 : 154,439.84 = 32,839.84 : x
  2. Step 2: Convert to fraction form
    102,961/154,439.84 = 32,839.84/x
  3. Step 3: Cross multiply
    102,961x = 154,439.84 × 32,839.84
  4. Step 4: Simplify right side
    102,961x = 5,071,779,635.23
  5. Step 5: Solve for x
    x = 5,071,779,635.23/102,961
  6. Step 6: Final answer
    x = 49,259.23

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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.