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Finding the Fourth Proportional to 76,464.24, 105,627 and 72,727.68

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Solution

The fourth proportional to 76,464.24, 105,627 and 72,727.68 is: 100,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464.24 : 105,627 = 72,727.68 : x
  2. Step 2: Convert to fraction form
    76,464.24/105,627 = 72,727.68/x
  3. Step 3: Cross multiply
    76,464.24x = 105,627 × 72,727.68
  4. Step 4: Simplify right side
    76,464.24x = 7,682,006,655.36
  5. Step 5: Solve for x
    x = 7,682,006,655.36/76,464.24
  6. Step 6: Final answer
    x = 100,465.35

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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.