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Finding the Fourth Proportional to 76,101.42, 105,120.30 and 58,414.98

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Solution

The fourth proportional to 76,101.42, 105,120.30 and 58,414.98 is: 80,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.42 : 105,120.30 = 58,414.98 : x
  2. Step 2: Convert to fraction form
    76,101.42/105,120.30 = 58,414.98/x
  3. Step 3: Cross multiply
    76,101.42x = 105,120.30 × 58,414.98
  4. Step 4: Simplify right side
    76,101.42x = 6,140,600,222.09
  5. Step 5: Solve for x
    x = 6,140,600,222.09/76,101.42
  6. Step 6: Final answer
    x = 80,689.69

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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.