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Finding the Fourth Proportional to 101,094.76, 151,669.02 and 34,534.78

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Solution

The fourth proportional to 101,094.76, 151,669.02 and 34,534.78 is: 51,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,094.76 : 151,669.02 = 34,534.78 : x
  2. Step 2: Convert to fraction form
    101,094.76/151,669.02 = 34,534.78/x
  3. Step 3: Cross multiply
    101,094.76x = 151,669.02 × 34,534.78
  4. Step 4: Simplify right side
    101,094.76x = 5,237,856,238.52
  5. Step 5: Solve for x
    x = 5,237,856,238.52/101,094.76
  6. Step 6: Final answer
    x = 51,811.35

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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.