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Finding the Fourth Proportional to 47,110.96, 65,012.92 and 26,967.76

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Solution

The fourth proportional to 47,110.96, 65,012.92 and 26,967.76 is: 37,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110.96 : 65,012.92 = 26,967.76 : x
  2. Step 2: Convert to fraction form
    47,110.96/65,012.92 = 26,967.76/x
  3. Step 3: Cross multiply
    47,110.96x = 65,012.92 × 26,967.76
  4. Step 4: Simplify right side
    47,110.96x = 1,753,252,823.46
  5. Step 5: Solve for x
    x = 1,753,252,823.46/47,110.96
  6. Step 6: Final answer
    x = 37,215.39

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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.