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Finding the Fourth Proportional to 72,633.52, 109,009.14 and 37,583.20

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Solution

The fourth proportional to 72,633.52, 109,009.14 and 37,583.20 is: 56,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633.52 : 109,009.14 = 37,583.20 : x
  2. Step 2: Convert to fraction form
    72,633.52/109,009.14 = 37,583.20/x
  3. Step 3: Cross multiply
    72,633.52x = 109,009.14 × 37,583.20
  4. Step 4: Simplify right side
    72,633.52x = 4,096,912,310.45
  5. Step 5: Solve for x
    x = 4,096,912,310.45/72,633.52
  6. Step 6: Final answer
    x = 56,405.26

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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.