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Finding the Fourth Proportional to 101,110.33, 151,683.36 and 34,534.90

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Solution

The fourth proportional to 101,110.33, 151,683.36 and 34,534.90 is: 51,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,110.33 : 151,683.36 = 34,534.90 : x
  2. Step 2: Convert to fraction form
    101,110.33/151,683.36 = 34,534.90/x
  3. Step 3: Cross multiply
    101,110.33x = 151,683.36 × 34,534.90
  4. Step 4: Simplify right side
    101,110.33x = 5,238,369,669.26
  5. Step 5: Solve for x
    x = 5,238,369,669.26/101,110.33
  6. Step 6: Final answer
    x = 51,808.45

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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.