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Finding the Fourth Proportional to 103,496.48, 155,194.12 and 42,695.42

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Solution

The fourth proportional to 103,496.48, 155,194.12 and 42,695.42 is: 64,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,496.48 : 155,194.12 = 42,695.42 : x
  2. Step 2: Convert to fraction form
    103,496.48/155,194.12 = 42,695.42/x
  3. Step 3: Cross multiply
    103,496.48x = 155,194.12 × 42,695.42
  4. Step 4: Simplify right side
    103,496.48x = 6,626,078,819.94
  5. Step 5: Solve for x
    x = 6,626,078,819.94/103,496.48
  6. Step 6: Final answer
    x = 64,022.26

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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.