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Finding the Fourth Proportional to 49,833.53, 74,780.81 and 19,862.15

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Solution

The fourth proportional to 49,833.53, 74,780.81 and 19,862.15 is: 29,805.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833.53 : 74,780.81 = 19,862.15 : x
  2. Step 2: Convert to fraction form
    49,833.53/74,780.81 = 19,862.15/x
  3. Step 3: Cross multiply
    49,833.53x = 74,780.81 × 19,862.15
  4. Step 4: Simplify right side
    49,833.53x = 1,485,307,341.09
  5. Step 5: Solve for x
    x = 1,485,307,341.09/49,833.53
  6. Step 6: Final answer
    x = 29,805.38

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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.