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Finding the Fourth Proportional to 32,178.42, 44,406.22 and 19,603.16

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Solution

The fourth proportional to 32,178.42, 44,406.22 and 19,603.16 is: 27,052.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.42 : 44,406.22 = 19,603.16 : x
  2. Step 2: Convert to fraction form
    32,178.42/44,406.22 = 19,603.16/x
  3. Step 3: Cross multiply
    32,178.42x = 44,406.22 × 19,603.16
  4. Step 4: Simplify right side
    32,178.42x = 870,502,235.66
  5. Step 5: Solve for x
    x = 870,502,235.66/32,178.42
  6. Step 6: Final answer
    x = 27,052.36

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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.