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Finding the Fourth Proportional to 32,415.78, 48,623.68 and 10,231.41

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Solution

The fourth proportional to 32,415.78, 48,623.68 and 10,231.41 is: 15,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.78 : 48,623.68 = 10,231.41 : x
  2. Step 2: Convert to fraction form
    32,415.78/48,623.68 = 10,231.41/x
  3. Step 3: Cross multiply
    32,415.78x = 48,623.68 × 10,231.41
  4. Step 4: Simplify right side
    32,415.78x = 497,488,805.79
  5. Step 5: Solve for x
    x = 497,488,805.79/32,415.78
  6. Step 6: Final answer
    x = 15,347.12

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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.