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Finding the Fourth Proportional to 75,225.84, 103,811.02 and 41,236.24

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Solution

The fourth proportional to 75,225.84, 103,811.02 and 41,236.24 is: 56,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.84 : 103,811.02 = 41,236.24 : x
  2. Step 2: Convert to fraction form
    75,225.84/103,811.02 = 41,236.24/x
  3. Step 3: Cross multiply
    75,225.84x = 103,811.02 × 41,236.24
  4. Step 4: Simplify right side
    75,225.84x = 4,280,776,135.36
  5. Step 5: Solve for x
    x = 4,280,776,135.36/75,225.84
  6. Step 6: Final answer
    x = 56,905.66

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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.