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Finding the Fourth Proportional to 29,124.36, 43,681.68 and 8,343

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Solution

The fourth proportional to 29,124.36, 43,681.68 and 8,343 is: 12,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124.36 : 43,681.68 = 8,343 : x
  2. Step 2: Convert to fraction form
    29,124.36/43,681.68 = 8,343/x
  3. Step 3: Cross multiply
    29,124.36x = 43,681.68 × 8,343
  4. Step 4: Simplify right side
    29,124.36x = 364,436,256.24
  5. Step 5: Solve for x
    x = 364,436,256.24/29,124.36
  6. Step 6: Final answer
    x = 12,513.11

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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.