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Finding the Fourth Proportional to 48,327.16, 72,450.42 and 33,565

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Solution

The fourth proportional to 48,327.16, 72,450.42 and 33,565 is: 50,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,327.16 : 72,450.42 = 33,565 : x
  2. Step 2: Convert to fraction form
    48,327.16/72,450.42 = 33,565/x
  3. Step 3: Cross multiply
    48,327.16x = 72,450.42 × 33,565
  4. Step 4: Simplify right side
    48,327.16x = 2,431,798,347.30
  5. Step 5: Solve for x
    x = 2,431,798,347.30/48,327.16
  6. Step 6: Final answer
    x = 50,319.50

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Why These Related Problems?

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