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Finding the Fourth Proportional to 105,713.40, 145,884.38 and 57,967.55

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Solution

The fourth proportional to 105,713.40, 145,884.38 and 57,967.55 is: 79,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,713.40 : 145,884.38 = 57,967.55 : x
  2. Step 2: Convert to fraction form
    105,713.40/145,884.38 = 57,967.55/x
  3. Step 3: Cross multiply
    105,713.40x = 145,884.38 × 57,967.55
  4. Step 4: Simplify right side
    105,713.40x = 8,456,559,072.61
  5. Step 5: Solve for x
    x = 8,456,559,072.61/105,713.40
  6. Step 6: Final answer
    x = 79,995.15

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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.