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Finding the Fourth Proportional to 47,573.69, 65,681.96 and 29,694.97

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Solution

The fourth proportional to 47,573.69, 65,681.96 and 29,694.97 is: 40,997.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,573.69 : 65,681.96 = 29,694.97 : x
  2. Step 2: Convert to fraction form
    47,573.69/65,681.96 = 29,694.97/x
  3. Step 3: Cross multiply
    47,573.69x = 65,681.96 × 29,694.97
  4. Step 4: Simplify right side
    47,573.69x = 1,950,423,831.74
  5. Step 5: Solve for x
    x = 1,950,423,831.74/47,573.69
  6. Step 6: Final answer
    x = 40,997.95

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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.