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Finding the Fourth Proportional to 52,171.32, 71,995.86 and 29,509.95

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Solution

The fourth proportional to 52,171.32, 71,995.86 and 29,509.95 is: 40,723.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,171.32 : 71,995.86 = 29,509.95 : x
  2. Step 2: Convert to fraction form
    52,171.32/71,995.86 = 29,509.95/x
  3. Step 3: Cross multiply
    52,171.32x = 71,995.86 × 29,509.95
  4. Step 4: Simplify right side
    52,171.32x = 2,124,594,228.81
  5. Step 5: Solve for x
    x = 2,124,594,228.81/52,171.32
  6. Step 6: Final answer
    x = 40,723.41

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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.