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Finding the Fourth Proportional to 90,407.90, 135,614.34 and 34,237.52

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Solution

The fourth proportional to 90,407.90, 135,614.34 and 34,237.52 is: 51,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,407.90 : 135,614.34 = 34,237.52 : x
  2. Step 2: Convert to fraction form
    90,407.90/135,614.34 = 34,237.52/x
  3. Step 3: Cross multiply
    90,407.90x = 135,614.34 × 34,237.52
  4. Step 4: Simplify right side
    90,407.90x = 4,643,099,017.07
  5. Step 5: Solve for x
    x = 4,643,099,017.07/90,407.90
  6. Step 6: Final answer
    x = 51,357.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.