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Finding the Fourth Proportional to 105,674.10, 145,829.07 and 57,927.30

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Solution

The fourth proportional to 105,674.10, 145,829.07 and 57,927.30 is: 79,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,674.10 : 145,829.07 = 57,927.30 : x
  2. Step 2: Convert to fraction form
    105,674.10/145,829.07 = 57,927.30/x
  3. Step 3: Cross multiply
    105,674.10x = 145,829.07 × 57,927.30
  4. Step 4: Simplify right side
    105,674.10x = 8,447,484,286.61
  5. Step 5: Solve for x
    x = 8,447,484,286.61/105,674.10
  6. Step 6: Final answer
    x = 79,939.02

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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.