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Finding the Fourth Proportional to 73,963.22, 102,069.34 and 40,429.22

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Solution

The fourth proportional to 73,963.22, 102,069.34 and 40,429.22 is: 55,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,963.22 : 102,069.34 = 40,429.22 : x
  2. Step 2: Convert to fraction form
    73,963.22/102,069.34 = 40,429.22/x
  3. Step 3: Cross multiply
    73,963.22x = 102,069.34 × 40,429.22
  4. Step 4: Simplify right side
    73,963.22x = 4,126,583,802.11
  5. Step 5: Solve for x
    x = 4,126,583,802.11/73,963.22
  6. Step 6: Final answer
    x = 55,792.38

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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.