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Finding the Fourth Proportional to 49,007, 73,543.24 and 17,842.28

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Solution

The fourth proportional to 49,007, 73,543.24 and 17,842.28 is: 26,775.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007 : 73,543.24 = 17,842.28 : x
  2. Step 2: Convert to fraction form
    49,007/73,543.24 = 17,842.28/x
  3. Step 3: Cross multiply
    49,007x = 73,543.24 × 17,842.28
  4. Step 4: Simplify right side
    49,007x = 1,312,179,080.19
  5. Step 5: Solve for x
    x = 1,312,179,080.19/49,007
  6. Step 6: Final answer
    x = 26,775.34

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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.