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Finding the Fourth Proportional to 71,530.06, 107,270.79 and 24,772

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Solution

The fourth proportional to 71,530.06, 107,270.79 and 24,772 is: 37,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530.06 : 107,270.79 = 24,772 : x
  2. Step 2: Convert to fraction form
    71,530.06/107,270.79 = 24,772/x
  3. Step 3: Cross multiply
    71,530.06x = 107,270.79 × 24,772
  4. Step 4: Simplify right side
    71,530.06x = 2,657,312,009.88
  5. Step 5: Solve for x
    x = 2,657,312,009.88/71,530.06
  6. Step 6: Final answer
    x = 37,149.58

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Why These Related Problems?

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