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Finding the Fourth Proportional to 72,533.52, 108,777.24 and 23,274

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Solution

The fourth proportional to 72,533.52, 108,777.24 and 23,274 is: 34,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,533.52 : 108,777.24 = 23,274 : x
  2. Step 2: Convert to fraction form
    72,533.52/108,777.24 = 23,274/x
  3. Step 3: Cross multiply
    72,533.52x = 108,777.24 × 23,274
  4. Step 4: Simplify right side
    72,533.52x = 2,531,681,483.76
  5. Step 5: Solve for x
    x = 2,531,681,483.76/72,533.52
  6. Step 6: Final answer
    x = 34,903.61

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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.