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Finding the Fourth Proportional to 97,467.70, 146,083.73 and 47,472.88

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Solution

The fourth proportional to 97,467.70, 146,083.73 and 47,472.88 is: 71,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,467.70 : 146,083.73 = 47,472.88 : x
  2. Step 2: Convert to fraction form
    97,467.70/146,083.73 = 47,472.88/x
  3. Step 3: Cross multiply
    97,467.70x = 146,083.73 × 47,472.88
  4. Step 4: Simplify right side
    97,467.70x = 6,935,014,653.82
  5. Step 5: Solve for x
    x = 6,935,014,653.82/97,467.70
  6. Step 6: Final answer
    x = 71,151.93

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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.