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Finding the Fourth Proportional to 105,424.56, 145,485.12 and 57,678.48

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Solution

The fourth proportional to 105,424.56, 145,485.12 and 57,678.48 is: 79,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,424.56 : 145,485.12 = 57,678.48 : x
  2. Step 2: Convert to fraction form
    105,424.56/145,485.12 = 57,678.48/x
  3. Step 3: Cross multiply
    105,424.56x = 145,485.12 × 57,678.48
  4. Step 4: Simplify right side
    105,424.56x = 8,391,360,584.22
  5. Step 5: Solve for x
    x = 8,391,360,584.22/105,424.56
  6. Step 6: Final answer
    x = 79,595.88

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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.