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Finding the Fourth Proportional to 51,710.42, 71,360.34 and 29,354.42

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Solution

The fourth proportional to 51,710.42, 71,360.34 and 29,354.42 is: 40,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,710.42 : 71,360.34 = 29,354.42 : x
  2. Step 2: Convert to fraction form
    51,710.42/71,360.34 = 29,354.42/x
  3. Step 3: Cross multiply
    51,710.42x = 71,360.34 × 29,354.42
  4. Step 4: Simplify right side
    51,710.42x = 2,094,741,391.70
  5. Step 5: Solve for x
    x = 2,094,741,391.70/51,710.42
  6. Step 6: Final answer
    x = 40,509.08

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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.