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Finding the Fourth Proportional to 53,422.32, 73,710.36 and 32,202.48

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Solution

The fourth proportional to 53,422.32, 73,710.36 and 32,202.48 is: 44,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,422.32 : 73,710.36 = 32,202.48 : x
  2. Step 2: Convert to fraction form
    53,422.32/73,710.36 = 32,202.48/x
  3. Step 3: Cross multiply
    53,422.32x = 73,710.36 × 32,202.48
  4. Step 4: Simplify right side
    53,422.32x = 2,373,656,393.69
  5. Step 5: Solve for x
    x = 2,373,656,393.69/53,422.32
  6. Step 6: Final answer
    x = 44,431.92

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