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Finding the Fourth Proportional to 33,801.40, 50,697.30 and 10,430.20

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Solution

The fourth proportional to 33,801.40, 50,697.30 and 10,430.20 is: 15,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,801.40 : 50,697.30 = 10,430.20 : x
  2. Step 2: Convert to fraction form
    33,801.40/50,697.30 = 10,430.20/x
  3. Step 3: Cross multiply
    33,801.40x = 50,697.30 × 10,430.20
  4. Step 4: Simplify right side
    33,801.40x = 528,782,978.46
  5. Step 5: Solve for x
    x = 528,782,978.46/33,801.40
  6. Step 6: Final answer
    x = 15,643.82

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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.