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Finding the Fourth Proportional to 73,953.15, 110,802.15 and 34,429.20

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Solution

The fourth proportional to 73,953.15, 110,802.15 and 34,429.20 is: 51,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,953.15 : 110,802.15 = 34,429.20 : x
  2. Step 2: Convert to fraction form
    73,953.15/110,802.15 = 34,429.20/x
  3. Step 3: Cross multiply
    73,953.15x = 110,802.15 × 34,429.20
  4. Step 4: Simplify right side
    73,953.15x = 3,814,829,382.78
  5. Step 5: Solve for x
    x = 3,814,829,382.78/73,953.15
  6. Step 6: Final answer
    x = 51,584.41

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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.