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Finding the Fourth Proportional to 75,137.60, 103,690.06 and 40,682.72

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Solution

The fourth proportional to 75,137.60, 103,690.06 and 40,682.72 is: 56,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,137.60 : 103,690.06 = 40,682.72 : x
  2. Step 2: Convert to fraction form
    75,137.60/103,690.06 = 40,682.72/x
  3. Step 3: Cross multiply
    75,137.60x = 103,690.06 × 40,682.72
  4. Step 4: Simplify right side
    75,137.60x = 4,218,393,677.76
  5. Step 5: Solve for x
    x = 4,218,393,677.76/75,137.60
  6. Step 6: Final answer
    x = 56,142.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.