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Finding the Fourth Proportional to 97,466.82, 146,082.42 and 47,472

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Solution

The fourth proportional to 97,466.82, 146,082.42 and 47,472 is: 71,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466.82 : 146,082.42 = 47,472 : x
  2. Step 2: Convert to fraction form
    97,466.82/146,082.42 = 47,472/x
  3. Step 3: Cross multiply
    97,466.82x = 146,082.42 × 47,472
  4. Step 4: Simplify right side
    97,466.82x = 6,934,824,642.24
  5. Step 5: Solve for x
    x = 6,934,824,642.24/97,466.82
  6. Step 6: Final answer
    x = 71,150.62

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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.