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Finding the Fourth Proportional to 29,038.72, 43,552 and 8,256.64

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Solution

The fourth proportional to 29,038.72, 43,552 and 8,256.64 is: 12,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038.72 : 43,552 = 8,256.64 : x
  2. Step 2: Convert to fraction form
    29,038.72/43,552 = 8,256.64/x
  3. Step 3: Cross multiply
    29,038.72x = 43,552 × 8,256.64
  4. Step 4: Simplify right side
    29,038.72x = 359,593,185.28
  5. Step 5: Solve for x
    x = 359,593,185.28/29,038.72
  6. Step 6: Final answer
    x = 12,383.23

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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.