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Finding the Fourth Proportional to 67,409.80, 101,105.10 and 23,038.60

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Solution

The fourth proportional to 67,409.80, 101,105.10 and 23,038.60 is: 34,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,409.80 : 101,105.10 = 23,038.60 : x
  2. Step 2: Convert to fraction form
    67,409.80/101,105.10 = 23,038.60/x
  3. Step 3: Cross multiply
    67,409.80x = 101,105.10 × 23,038.60
  4. Step 4: Simplify right side
    67,409.80x = 2,329,319,956.86
  5. Step 5: Solve for x
    x = 2,329,319,956.86/67,409.80
  6. Step 6: Final answer
    x = 34,554.62

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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.