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Finding the Fourth Proportional to 29,137.50, 43,722.09 and 11,607.30

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Solution

The fourth proportional to 29,137.50, 43,722.09 and 11,607.30 is: 17,417.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.50 : 43,722.09 = 11,607.30 : x
  2. Step 2: Convert to fraction form
    29,137.50/43,722.09 = 11,607.30/x
  3. Step 3: Cross multiply
    29,137.50x = 43,722.09 × 11,607.30
  4. Step 4: Simplify right side
    29,137.50x = 507,495,415.26
  5. Step 5: Solve for x
    x = 507,495,415.26/29,137.50
  6. Step 6: Final answer
    x = 17,417.26

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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.