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Finding the Fourth Proportional to 32,206.37, 48,304.35 and 8,827.34

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Solution

The fourth proportional to 32,206.37, 48,304.35 and 8,827.34 is: 13,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.37 : 48,304.35 = 8,827.34 : x
  2. Step 2: Convert to fraction form
    32,206.37/48,304.35 = 8,827.34/x
  3. Step 3: Cross multiply
    32,206.37x = 48,304.35 × 8,827.34
  4. Step 4: Simplify right side
    32,206.37x = 426,398,679.41
  5. Step 5: Solve for x
    x = 426,398,679.41/32,206.37
  6. Step 6: Final answer
    x = 13,239.58

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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.