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Finding the Fourth Proportional to 34,764.24, 47,962.08 and 22,834

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Solution

The fourth proportional to 34,764.24, 47,962.08 and 22,834 is: 31,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,764.24 : 47,962.08 = 22,834 : x
  2. Step 2: Convert to fraction form
    34,764.24/47,962.08 = 22,834/x
  3. Step 3: Cross multiply
    34,764.24x = 47,962.08 × 22,834
  4. Step 4: Simplify right side
    34,764.24x = 1,095,166,134.72
  5. Step 5: Solve for x
    x = 1,095,166,134.72/34,764.24
  6. Step 6: Final answer
    x = 31,502.66

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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.