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Finding the Fourth Proportional to 76,114.42, 105,138.30 and 58,427.98

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Solution

The fourth proportional to 76,114.42, 105,138.30 and 58,427.98 is: 80,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.42 : 105,138.30 = 58,427.98 : x
  2. Step 2: Convert to fraction form
    76,114.42/105,138.30 = 58,427.98/x
  3. Step 3: Cross multiply
    76,114.42x = 105,138.30 × 58,427.98
  4. Step 4: Simplify right side
    76,114.42x = 6,143,018,489.63
  5. Step 5: Solve for x
    x = 6,143,018,489.63/76,114.42
  6. Step 6: Final answer
    x = 80,707.68

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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.