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Finding the Fourth Proportional to 32,654.94, 48,986.66 and 9,281.98

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Solution

The fourth proportional to 32,654.94, 48,986.66 and 9,281.98 is: 13,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.94 : 48,986.66 = 9,281.98 : x
  2. Step 2: Convert to fraction form
    32,654.94/48,986.66 = 9,281.98/x
  3. Step 3: Cross multiply
    32,654.94x = 48,986.66 × 9,281.98
  4. Step 4: Simplify right side
    32,654.94x = 454,693,198.39
  5. Step 5: Solve for x
    x = 454,693,198.39/32,654.94
  6. Step 6: Final answer
    x = 13,924.18

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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.