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Finding the Fourth Proportional to 104,661.76, 156,934.32 and 34,522.24

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Solution

The fourth proportional to 104,661.76, 156,934.32 and 34,522.24 is: 51,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,661.76 : 156,934.32 = 34,522.24 : x
  2. Step 2: Convert to fraction form
    104,661.76/156,934.32 = 34,522.24/x
  3. Step 3: Cross multiply
    104,661.76x = 156,934.32 × 34,522.24
  4. Step 4: Simplify right side
    104,661.76x = 5,417,724,259.28
  5. Step 5: Solve for x
    x = 5,417,724,259.28/104,661.76
  6. Step 6: Final answer
    x = 51,764.12

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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.