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Finding the Fourth Proportional to 27,968, 41,957.76 and 11,552

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Solution

The fourth proportional to 27,968, 41,957.76 and 11,552 is: 17,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968 : 41,957.76 = 11,552 : x
  2. Step 2: Convert to fraction form
    27,968/41,957.76 = 11,552/x
  3. Step 3: Cross multiply
    27,968x = 41,957.76 × 11,552
  4. Step 4: Simplify right side
    27,968x = 484,696,043.52
  5. Step 5: Solve for x
    x = 484,696,043.52/27,968
  6. Step 6: Final answer
    x = 17,330.38

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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.