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Finding the Fourth Proportional to 105,679.55, 145,846.98 and 57,942

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Solution

The fourth proportional to 105,679.55, 145,846.98 and 57,942 is: 79,965.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,679.55 : 145,846.98 = 57,942 : x
  2. Step 2: Convert to fraction form
    105,679.55/145,846.98 = 57,942/x
  3. Step 3: Cross multiply
    105,679.55x = 145,846.98 × 57,942
  4. Step 4: Simplify right side
    105,679.55x = 8,450,665,715.16
  5. Step 5: Solve for x
    x = 8,450,665,715.16/105,679.55
  6. Step 6: Final answer
    x = 79,965.00

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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.