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Finding the Fourth Proportional to 32,283.12, 48,431.16 and 11,506.08

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Solution

The fourth proportional to 32,283.12, 48,431.16 and 11,506.08 is: 17,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,283.12 : 48,431.16 = 11,506.08 : x
  2. Step 2: Convert to fraction form
    32,283.12/48,431.16 = 11,506.08/x
  3. Step 3: Cross multiply
    32,283.12x = 48,431.16 × 11,506.08
  4. Step 4: Simplify right side
    32,283.12x = 557,252,801.45
  5. Step 5: Solve for x
    x = 557,252,801.45/32,283.12
  6. Step 6: Final answer
    x = 17,261.43

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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.