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Finding the Fourth Proportional to 49,495, 74,207.24 and 23,185.38

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Solution

The fourth proportional to 49,495, 74,207.24 and 23,185.38 is: 34,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,495 : 74,207.24 = 23,185.38 : x
  2. Step 2: Convert to fraction form
    49,495/74,207.24 = 23,185.38/x
  3. Step 3: Cross multiply
    49,495x = 74,207.24 × 23,185.38
  4. Step 4: Simplify right side
    49,495x = 1,720,523,058.15
  5. Step 5: Solve for x
    x = 1,720,523,058.15/49,495
  6. Step 6: Final answer
    x = 34,761.55

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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.