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Finding the Fourth Proportional to 32,011.40, 48,006.73 and 10,658.42

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Solution

The fourth proportional to 32,011.40, 48,006.73 and 10,658.42 is: 15,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.40 : 48,006.73 = 10,658.42 : x
  2. Step 2: Convert to fraction form
    32,011.40/48,006.73 = 10,658.42/x
  3. Step 3: Cross multiply
    32,011.40x = 48,006.73 × 10,658.42
  4. Step 4: Simplify right side
    32,011.40x = 511,675,784.53
  5. Step 5: Solve for x
    x = 511,675,784.53/32,011.40
  6. Step 6: Final answer
    x = 15,984.17

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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.