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Finding the Fourth Proportional to 97,484, 146,226.80 and 23,612

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Solution

The fourth proportional to 97,484, 146,226.80 and 23,612 is: 35,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,484 : 146,226.80 = 23,612 : x
  2. Step 2: Convert to fraction form
    97,484/146,226.80 = 23,612/x
  3. Step 3: Cross multiply
    97,484x = 146,226.80 × 23,612
  4. Step 4: Simplify right side
    97,484x = 3,452,707,201.60
  5. Step 5: Solve for x
    x = 3,452,707,201.60/97,484
  6. Step 6: Final answer
    x = 35,418.19

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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.