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Finding the Fourth Proportional to 74,705.42, 103,093.50 and 40,713.92

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Solution

The fourth proportional to 74,705.42, 103,093.50 and 40,713.92 is: 56,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,705.42 : 103,093.50 = 40,713.92 : x
  2. Step 2: Convert to fraction form
    74,705.42/103,093.50 = 40,713.92/x
  3. Step 3: Cross multiply
    74,705.42x = 103,093.50 × 40,713.92
  4. Step 4: Simplify right side
    74,705.42x = 4,197,340,511.52
  5. Step 5: Solve for x
    x = 4,197,340,511.52/74,705.42
  6. Step 6: Final answer
    x = 56,185.22

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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.