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Finding the Fourth Proportional to 38,365.90, 52,947.60 and 23,259.20

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Solution

The fourth proportional to 38,365.90, 52,947.60 and 23,259.20 is: 32,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365.90 : 52,947.60 = 23,259.20 : x
  2. Step 2: Convert to fraction form
    38,365.90/52,947.60 = 23,259.20/x
  3. Step 3: Cross multiply
    38,365.90x = 52,947.60 × 23,259.20
  4. Step 4: Simplify right side
    38,365.90x = 1,231,518,817.92
  5. Step 5: Solve for x
    x = 1,231,518,817.92/38,365.90
  6. Step 6: Final answer
    x = 32,099.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.