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Finding the Fourth Proportional to 35,737.25, 49,317.64 and 19,821.74

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Solution

The fourth proportional to 35,737.25, 49,317.64 and 19,821.74 is: 27,354.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.25 : 49,317.64 = 19,821.74 : x
  2. Step 2: Convert to fraction form
    35,737.25/49,317.64 = 19,821.74/x
  3. Step 3: Cross multiply
    35,737.25x = 49,317.64 × 19,821.74
  4. Step 4: Simplify right side
    35,737.25x = 977,561,338.38
  5. Step 5: Solve for x
    x = 977,561,338.38/35,737.25
  6. Step 6: Final answer
    x = 27,354.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.