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Finding the Fourth Proportional to 76,767.22, 105,920.22 and 43,233.22

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Solution

The fourth proportional to 76,767.22, 105,920.22 and 43,233.22 is: 59,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,767.22 : 105,920.22 = 43,233.22 : x
  2. Step 2: Convert to fraction form
    76,767.22/105,920.22 = 43,233.22/x
  3. Step 3: Cross multiply
    76,767.22x = 105,920.22 × 43,233.22
  4. Step 4: Simplify right side
    76,767.22x = 4,579,272,173.71
  5. Step 5: Solve for x
    x = 4,579,272,173.71/76,767.22
  6. Step 6: Final answer
    x = 59,651.40

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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.