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Finding the Fourth Proportional to 35,472.74, 53,227.74 and 15,765.44

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Solution

The fourth proportional to 35,472.74, 53,227.74 and 15,765.44 is: 23,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.74 : 53,227.74 = 15,765.44 : x
  2. Step 2: Convert to fraction form
    35,472.74/53,227.74 = 15,765.44/x
  3. Step 3: Cross multiply
    35,472.74x = 53,227.74 × 15,765.44
  4. Step 4: Simplify right side
    35,472.74x = 839,158,741.31
  5. Step 5: Solve for x
    x = 839,158,741.31/35,472.74
  6. Step 6: Final answer
    x = 23,656.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.