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Finding the Fourth Proportional to 71,761.94, 107,643.45 and 25,014.86

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Solution

The fourth proportional to 71,761.94, 107,643.45 and 25,014.86 is: 37,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,761.94 : 107,643.45 = 25,014.86 : x
  2. Step 2: Convert to fraction form
    71,761.94/107,643.45 = 25,014.86/x
  3. Step 3: Cross multiply
    71,761.94x = 107,643.45 × 25,014.86
  4. Step 4: Simplify right side
    71,761.94x = 2,692,685,831.67
  5. Step 5: Solve for x
    x = 2,692,685,831.67/71,761.94
  6. Step 6: Final answer
    x = 37,522.48

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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.