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Finding the Fourth Proportional to 47,151.58, 65,053.24 and 26,731.46

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Solution

The fourth proportional to 47,151.58, 65,053.24 and 26,731.46 is: 36,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,151.58 : 65,053.24 = 26,731.46 : x
  2. Step 2: Convert to fraction form
    47,151.58/65,053.24 = 26,731.46/x
  3. Step 3: Cross multiply
    47,151.58x = 65,053.24 × 26,731.46
  4. Step 4: Simplify right side
    47,151.58x = 1,738,968,082.93
  5. Step 5: Solve for x
    x = 1,738,968,082.93/47,151.58
  6. Step 6: Final answer
    x = 36,880.38

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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.