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Finding the Fourth Proportional to 73,762.73, 110,643.92 and 31,615.48

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Solution

The fourth proportional to 73,762.73, 110,643.92 and 31,615.48 is: 47,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,762.73 : 110,643.92 = 31,615.48 : x
  2. Step 2: Convert to fraction form
    73,762.73/110,643.92 = 31,615.48/x
  3. Step 3: Cross multiply
    73,762.73x = 110,643.92 × 31,615.48
  4. Step 4: Simplify right side
    73,762.73x = 3,498,060,639.88
  5. Step 5: Solve for x
    x = 3,498,060,639.88/73,762.73
  6. Step 6: Final answer
    x = 47,423.15

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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.