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Finding the Fourth Proportional to 105,527.99, 145,630.23 and 57,785.78

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Solution

The fourth proportional to 105,527.99, 145,630.23 and 57,785.78 is: 79,745.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,527.99 : 145,630.23 = 57,785.78 : x
  2. Step 2: Convert to fraction form
    105,527.99/145,630.23 = 57,785.78/x
  3. Step 3: Cross multiply
    105,527.99x = 145,630.23 × 57,785.78
  4. Step 4: Simplify right side
    105,527.99x = 8,415,356,432.13
  5. Step 5: Solve for x
    x = 8,415,356,432.13/105,527.99
  6. Step 6: Final answer
    x = 79,745.25

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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.