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Finding the Fourth Proportional to 129,724.30, 194,570.34 and 34,961.90

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Solution

The fourth proportional to 129,724.30, 194,570.34 and 34,961.90 is: 52,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,724.30 : 194,570.34 = 34,961.90 : x
  2. Step 2: Convert to fraction form
    129,724.30/194,570.34 = 34,961.90/x
  3. Step 3: Cross multiply
    129,724.30x = 194,570.34 × 34,961.90
  4. Step 4: Simplify right side
    129,724.30x = 6,802,547,797.19
  5. Step 5: Solve for x
    x = 6,802,547,797.19/129,724.30
  6. Step 6: Final answer
    x = 52,438.50

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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.