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Finding the Fourth Proportional to 32,696, 49,044.16 and 8,072

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Solution

The fourth proportional to 32,696, 49,044.16 and 8,072 is: 12,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696 : 49,044.16 = 8,072 : x
  2. Step 2: Convert to fraction form
    32,696/49,044.16 = 8,072/x
  3. Step 3: Cross multiply
    32,696x = 49,044.16 × 8,072
  4. Step 4: Simplify right side
    32,696x = 395,884,459.52
  5. Step 5: Solve for x
    x = 395,884,459.52/32,696
  6. Step 6: Final answer
    x = 12,108.04

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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.