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Finding the Fourth Proportional to 32,193.50, 48,285.06 and 8,814.47

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Solution

The fourth proportional to 32,193.50, 48,285.06 and 8,814.47 is: 13,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.50 : 48,285.06 = 8,814.47 : x
  2. Step 2: Convert to fraction form
    32,193.50/48,285.06 = 8,814.47/x
  3. Step 3: Cross multiply
    32,193.50x = 48,285.06 × 8,814.47
  4. Step 4: Simplify right side
    32,193.50x = 425,606,971.39
  5. Step 5: Solve for x
    x = 425,606,971.39/32,193.50
  6. Step 6: Final answer
    x = 13,220.28

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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.