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Finding the Fourth Proportional to 27,970.88, 41,946.32 and 9,247.46

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Solution

The fourth proportional to 27,970.88, 41,946.32 and 9,247.46 is: 13,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.88 : 41,946.32 = 9,247.46 : x
  2. Step 2: Convert to fraction form
    27,970.88/41,946.32 = 9,247.46/x
  3. Step 3: Cross multiply
    27,970.88x = 41,946.32 × 9,247.46
  4. Step 4: Simplify right side
    27,970.88x = 387,896,916.35
  5. Step 5: Solve for x
    x = 387,896,916.35/27,970.88
  6. Step 6: Final answer
    x = 13,867.88

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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.