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Finding the Fourth Proportional to 67,365, 101,025.48 and 31,820.76

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Solution

The fourth proportional to 67,365, 101,025.48 and 31,820.76 is: 47,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,365 : 101,025.48 = 31,820.76 : x
  2. Step 2: Convert to fraction form
    67,365/101,025.48 = 31,820.76/x
  3. Step 3: Cross multiply
    67,365x = 101,025.48 × 31,820.76
  4. Step 4: Simplify right side
    67,365x = 3,214,707,552.96
  5. Step 5: Solve for x
    x = 3,214,707,552.96/67,365
  6. Step 6: Final answer
    x = 47,720.74

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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.