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Finding the Fourth Proportional to 76,684.15, 105,821.53 and 43,143.67

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Solution

The fourth proportional to 76,684.15, 105,821.53 and 43,143.67 is: 59,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.15 : 105,821.53 = 43,143.67 : x
  2. Step 2: Convert to fraction form
    76,684.15/105,821.53 = 43,143.67/x
  3. Step 3: Cross multiply
    76,684.15x = 105,821.53 × 43,143.67
  4. Step 4: Simplify right side
    76,684.15x = 4,565,529,169.22
  5. Step 5: Solve for x
    x = 4,565,529,169.22/76,684.15
  6. Step 6: Final answer
    x = 59,536.80

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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.