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Finding the Fourth Proportional to 105,322.56, 145,344.96 and 57,576

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Solution

The fourth proportional to 105,322.56, 145,344.96 and 57,576 is: 79,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,322.56 : 145,344.96 = 57,576 : x
  2. Step 2: Convert to fraction form
    105,322.56/145,344.96 = 57,576/x
  3. Step 3: Cross multiply
    105,322.56x = 145,344.96 × 57,576
  4. Step 4: Simplify right side
    105,322.56x = 8,368,381,416.96
  5. Step 5: Solve for x
    x = 8,368,381,416.96/105,322.56
  6. Step 6: Final answer
    x = 79,454.79

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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.