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Finding the Fourth Proportional to 71,143.66, 106,684.22 and 37,855.81

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Solution

The fourth proportional to 71,143.66, 106,684.22 and 37,855.81 is: 56,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.66 : 106,684.22 = 37,855.81 : x
  2. Step 2: Convert to fraction form
    71,143.66/106,684.22 = 37,855.81/x
  3. Step 3: Cross multiply
    71,143.66x = 106,684.22 × 37,855.81
  4. Step 4: Simplify right side
    71,143.66x = 4,038,617,562.32
  5. Step 5: Solve for x
    x = 4,038,617,562.32/71,143.66
  6. Step 6: Final answer
    x = 56,767.08

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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.