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Finding the Fourth Proportional to 29,323.50, 43,992.54 and 8,547

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Solution

The fourth proportional to 29,323.50, 43,992.54 and 8,547 is: 12,822.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,323.50 : 43,992.54 = 8,547 : x
  2. Step 2: Convert to fraction form
    29,323.50/43,992.54 = 8,547/x
  3. Step 3: Cross multiply
    29,323.50x = 43,992.54 × 8,547
  4. Step 4: Simplify right side
    29,323.50x = 376,004,239.38
  5. Step 5: Solve for x
    x = 376,004,239.38/29,323.50
  6. Step 6: Final answer
    x = 12,822.62

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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.