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Finding the Fourth Proportional to 32,657.42, 48,947.24 and 22,743.02

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Solution

The fourth proportional to 32,657.42, 48,947.24 and 22,743.02 is: 34,087.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.42 : 48,947.24 = 22,743.02 : x
  2. Step 2: Convert to fraction form
    32,657.42/48,947.24 = 22,743.02/x
  3. Step 3: Cross multiply
    32,657.42x = 48,947.24 × 22,743.02
  4. Step 4: Simplify right side
    32,657.42x = 1,113,208,058.26
  5. Step 5: Solve for x
    x = 1,113,208,058.26/32,657.42
  6. Step 6: Final answer
    x = 34,087.45

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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.