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Finding the Fourth Proportional to 105,726.62, 158,574.50 and 30,826.64

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Solution

The fourth proportional to 105,726.62, 158,574.50 and 30,826.64 is: 46,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.62 : 158,574.50 = 30,826.64 : x
  2. Step 2: Convert to fraction form
    105,726.62/158,574.50 = 30,826.64/x
  3. Step 3: Cross multiply
    105,726.62x = 158,574.50 × 30,826.64
  4. Step 4: Simplify right side
    105,726.62x = 4,888,318,870.55
  5. Step 5: Solve for x
    x = 4,888,318,870.55/105,726.62
  6. Step 6: Final answer
    x = 46,235.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.