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Finding the Fourth Proportional to 32,447.93, 48,653.67 and 10,266.89

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Solution

The fourth proportional to 32,447.93, 48,653.67 and 10,266.89 is: 15,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.93 : 48,653.67 = 10,266.89 : x
  2. Step 2: Convert to fraction form
    32,447.93/48,653.67 = 10,266.89/x
  3. Step 3: Cross multiply
    32,447.93x = 48,653.67 × 10,266.89
  4. Step 4: Simplify right side
    32,447.93x = 499,521,877.99
  5. Step 5: Solve for x
    x = 499,521,877.99/32,447.93
  6. Step 6: Final answer
    x = 15,394.57

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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.