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Finding the Fourth Proportional to 75,501.57, 113,339.84 and 40,509.57

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Solution

The fourth proportional to 75,501.57, 113,339.84 and 40,509.57 is: 60,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,501.57 : 113,339.84 = 40,509.57 : x
  2. Step 2: Convert to fraction form
    75,501.57/113,339.84 = 40,509.57/x
  3. Step 3: Cross multiply
    75,501.57x = 113,339.84 × 40,509.57
  4. Step 4: Simplify right side
    75,501.57x = 4,591,348,182.27
  5. Step 5: Solve for x
    x = 4,591,348,182.27/75,501.57
  6. Step 6: Final answer
    x = 60,811.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.