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Finding the Fourth Proportional to 32,112.84, 48,058.92 and 20,261.16

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Solution

The fourth proportional to 32,112.84, 48,058.92 and 20,261.16 is: 30,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,112.84 : 48,058.92 = 20,261.16 : x
  2. Step 2: Convert to fraction form
    32,112.84/48,058.92 = 20,261.16/x
  3. Step 3: Cross multiply
    32,112.84x = 48,058.92 × 20,261.16
  4. Step 4: Simplify right side
    32,112.84x = 973,729,467.55
  5. Step 5: Solve for x
    x = 973,729,467.55/32,112.84
  6. Step 6: Final answer
    x = 30,322.12

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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.