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Finding the Fourth Proportional to 31,866.84, 47,822.04 and 11,090.34

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Solution

The fourth proportional to 31,866.84, 47,822.04 and 11,090.34 is: 16,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,866.84 : 47,822.04 = 11,090.34 : x
  2. Step 2: Convert to fraction form
    31,866.84/47,822.04 = 11,090.34/x
  3. Step 3: Cross multiply
    31,866.84x = 47,822.04 × 11,090.34
  4. Step 4: Simplify right side
    31,866.84x = 530,362,683.09
  5. Step 5: Solve for x
    x = 530,362,683.09/31,866.84
  6. Step 6: Final answer
    x = 16,643.09

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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.