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Finding the Fourth Proportional to 29,217.50, 43,804.38 and 9,484.28

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Solution

The fourth proportional to 29,217.50, 43,804.38 and 9,484.28 is: 14,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,217.50 : 43,804.38 = 9,484.28 : x
  2. Step 2: Convert to fraction form
    29,217.50/43,804.38 = 9,484.28/x
  3. Step 3: Cross multiply
    29,217.50x = 43,804.38 × 9,484.28
  4. Step 4: Simplify right side
    29,217.50x = 415,453,005.15
  5. Step 5: Solve for x
    x = 415,453,005.15/29,217.50
  6. Step 6: Final answer
    x = 14,219.32

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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.