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Finding the Fourth Proportional to 75,225.96, 103,810.41 and 41,233.50

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Solution

The fourth proportional to 75,225.96, 103,810.41 and 41,233.50 is: 56,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,225.96 : 103,810.41 = 41,233.50 : x
  2. Step 2: Convert to fraction form
    75,225.96/103,810.41 = 41,233.50/x
  3. Step 3: Cross multiply
    75,225.96x = 103,810.41 × 41,233.50
  4. Step 4: Simplify right side
    75,225.96x = 4,280,466,540.74
  5. Step 5: Solve for x
    x = 4,280,466,540.74/75,225.96
  6. Step 6: Final answer
    x = 56,901.45

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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.