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Finding the Fourth Proportional to 101,113.88, 151,688.61 and 34,538.40

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Solution

The fourth proportional to 101,113.88, 151,688.61 and 34,538.40 is: 51,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,113.88 : 151,688.61 = 34,538.40 : x
  2. Step 2: Convert to fraction form
    101,113.88/151,688.61 = 34,538.40/x
  3. Step 3: Cross multiply
    101,113.88x = 151,688.61 × 34,538.40
  4. Step 4: Simplify right side
    101,113.88x = 5,239,081,887.62
  5. Step 5: Solve for x
    x = 5,239,081,887.62/101,113.88
  6. Step 6: Final answer
    x = 51,813.68

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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.