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Finding the Fourth Proportional to 64,643.76, 89,206.44 and 39,165.18

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Solution

The fourth proportional to 64,643.76, 89,206.44 and 39,165.18 is: 54,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.76 : 89,206.44 = 39,165.18 : x
  2. Step 2: Convert to fraction form
    64,643.76/89,206.44 = 39,165.18/x
  3. Step 3: Cross multiply
    64,643.76x = 89,206.44 × 39,165.18
  4. Step 4: Simplify right side
    64,643.76x = 3,493,786,279.76
  5. Step 5: Solve for x
    x = 3,493,786,279.76/64,643.76
  6. Step 6: Final answer
    x = 54,046.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.