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Finding the Fourth Proportional to 51,059.30, 70,451.46 and 29,834.46

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Solution

The fourth proportional to 51,059.30, 70,451.46 and 29,834.46 is: 41,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,059.30 : 70,451.46 = 29,834.46 : x
  2. Step 2: Convert to fraction form
    51,059.30/70,451.46 = 29,834.46/x
  3. Step 3: Cross multiply
    51,059.30x = 70,451.46 × 29,834.46
  4. Step 4: Simplify right side
    51,059.30x = 2,101,881,265.31
  5. Step 5: Solve for x
    x = 2,101,881,265.31/51,059.30
  6. Step 6: Final answer
    x = 41,165.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.