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Finding the Fourth Proportional to 75,712.74, 104,440.23 and 47,369.22

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Solution

The fourth proportional to 75,712.74, 104,440.23 and 47,369.22 is: 65,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.74 : 104,440.23 = 47,369.22 : x
  2. Step 2: Convert to fraction form
    75,712.74/104,440.23 = 47,369.22/x
  3. Step 3: Cross multiply
    75,712.74x = 104,440.23 × 47,369.22
  4. Step 4: Simplify right side
    75,712.74x = 4,947,252,231.72
  5. Step 5: Solve for x
    x = 4,947,252,231.72/75,712.74
  6. Step 6: Final answer
    x = 65,342.40

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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.