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Finding the Fourth Proportional to 97,641.62, 146,484.41 and 34,466.24

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Solution

The fourth proportional to 97,641.62, 146,484.41 and 34,466.24 is: 51,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641.62 : 146,484.41 = 34,466.24 : x
  2. Step 2: Convert to fraction form
    97,641.62/146,484.41 = 34,466.24/x
  3. Step 3: Cross multiply
    97,641.62x = 146,484.41 × 34,466.24
  4. Step 4: Simplify right side
    97,641.62x = 5,048,765,926.57
  5. Step 5: Solve for x
    x = 5,048,765,926.57/97,641.62
  6. Step 6: Final answer
    x = 51,707.11

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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.