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Finding the Fourth Proportional to 27,978.47, 41,955.38 and 14,827.76

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Solution

The fourth proportional to 27,978.47, 41,955.38 and 14,827.76 is: 22,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.47 : 41,955.38 = 14,827.76 : x
  2. Step 2: Convert to fraction form
    27,978.47/41,955.38 = 14,827.76/x
  3. Step 3: Cross multiply
    27,978.47x = 41,955.38 × 14,827.76
  4. Step 4: Simplify right side
    27,978.47x = 622,104,021.43
  5. Step 5: Solve for x
    x = 622,104,021.43/27,978.47
  6. Step 6: Final answer
    x = 22,235.10

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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.