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Finding the Fourth Proportional to 32,586.98, 48,884.70 and 9,213.98

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Solution

The fourth proportional to 32,586.98, 48,884.70 and 9,213.98 is: 13,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.98 : 48,884.70 = 9,213.98 : x
  2. Step 2: Convert to fraction form
    32,586.98/48,884.70 = 9,213.98/x
  3. Step 3: Cross multiply
    32,586.98x = 48,884.70 × 9,213.98
  4. Step 4: Simplify right side
    32,586.98x = 450,422,648.11
  5. Step 5: Solve for x
    x = 450,422,648.11/32,586.98
  6. Step 6: Final answer
    x = 13,822.17

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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.