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Finding the Fourth Proportional to 71,530.56, 107,271.54 and 24,772.50

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Solution

The fourth proportional to 71,530.56, 107,271.54 and 24,772.50 is: 37,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.56 : 107,271.54 = 24,772.50 : x
  2. Step 2: Convert to fraction form
    71,530.56/107,271.54 = 24,772.50/x
  3. Step 3: Cross multiply
    71,530.56x = 107,271.54 × 24,772.50
  4. Step 4: Simplify right side
    71,530.56x = 2,657,384,224.65
  5. Step 5: Solve for x
    x = 2,657,384,224.65/71,530.56
  6. Step 6: Final answer
    x = 37,150.33

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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.