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Finding the Fourth Proportional to 47,234, 65,182.92 and 26,013.22

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Solution

The fourth proportional to 47,234, 65,182.92 and 26,013.22 is: 35,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,234 : 65,182.92 = 26,013.22 : x
  2. Step 2: Convert to fraction form
    47,234/65,182.92 = 26,013.22/x
  3. Step 3: Cross multiply
    47,234x = 65,182.92 × 26,013.22
  4. Step 4: Simplify right side
    47,234x = 1,695,617,638.20
  5. Step 5: Solve for x
    x = 1,695,617,638.20/47,234
  6. Step 6: Final answer
    x = 35,898.24

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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.