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Finding the Fourth Proportional to 75,662.71, 104,322.03 and 47,319.19

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Solution

The fourth proportional to 75,662.71, 104,322.03 and 47,319.19 is: 65,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,662.71 : 104,322.03 = 47,319.19 : x
  2. Step 2: Convert to fraction form
    75,662.71/104,322.03 = 47,319.19/x
  3. Step 3: Cross multiply
    75,662.71x = 104,322.03 × 47,319.19
  4. Step 4: Simplify right side
    75,662.71x = 4,936,433,520.50
  5. Step 5: Solve for x
    x = 4,936,433,520.50/75,662.71
  6. Step 6: Final answer
    x = 65,242.62

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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.