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Finding the Fourth Proportional to 67,433.24, 100,977.38 and 65,437.77

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Solution

The fourth proportional to 67,433.24, 100,977.38 and 65,437.77 is: 97,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,433.24 : 100,977.38 = 65,437.77 : x
  2. Step 2: Convert to fraction form
    67,433.24/100,977.38 = 65,437.77/x
  3. Step 3: Cross multiply
    67,433.24x = 100,977.38 × 65,437.77
  4. Step 4: Simplify right side
    67,433.24x = 6,607,734,818.50
  5. Step 5: Solve for x
    x = 6,607,734,818.50/67,433.24
  6. Step 6: Final answer
    x = 97,989.28

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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.