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Finding the Fourth Proportional to 101,542.99, 152,361.15 and 38,385.05

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Solution

The fourth proportional to 101,542.99, 152,361.15 and 38,385.05 is: 57,595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,542.99 : 152,361.15 = 38,385.05 : x
  2. Step 2: Convert to fraction form
    101,542.99/152,361.15 = 38,385.05/x
  3. Step 3: Cross multiply
    101,542.99x = 152,361.15 × 38,385.05
  4. Step 4: Simplify right side
    101,542.99x = 5,848,390,360.81
  5. Step 5: Solve for x
    x = 5,848,390,360.81/101,542.99
  6. Step 6: Final answer
    x = 57,595.22

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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.