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Finding the Fourth Proportional to 27,973.10, 41,959.64 and 9,505.10

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Solution

The fourth proportional to 27,973.10, 41,959.64 and 9,505.10 is: 14,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973.10 : 41,959.64 = 9,505.10 : x
  2. Step 2: Convert to fraction form
    27,973.10/41,959.64 = 9,505.10/x
  3. Step 3: Cross multiply
    27,973.10x = 41,959.64 × 9,505.10
  4. Step 4: Simplify right side
    27,973.10x = 398,830,364.37
  5. Step 5: Solve for x
    x = 398,830,364.37/27,973.10
  6. Step 6: Final answer
    x = 14,257.64

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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.