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Finding the Fourth Proportional to 97,963.71, 135,064.77 and 63,447.48

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Solution

The fourth proportional to 97,963.71, 135,064.77 and 63,447.48 is: 87,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.71 : 135,064.77 = 63,447.48 : x
  2. Step 2: Convert to fraction form
    97,963.71/135,064.77 = 63,447.48/x
  3. Step 3: Cross multiply
    97,963.71x = 135,064.77 × 63,447.48
  4. Step 4: Simplify right side
    97,963.71x = 8,569,519,293.28
  5. Step 5: Solve for x
    x = 8,569,519,293.28/97,963.71
  6. Step 6: Final answer
    x = 87,476.47

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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.