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Finding the Fourth Proportional to 35,713.50, 49,284.63 and 19,800.38

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Solution

The fourth proportional to 35,713.50, 49,284.63 and 19,800.38 is: 27,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.50 : 49,284.63 = 19,800.38 : x
  2. Step 2: Convert to fraction form
    35,713.50/49,284.63 = 19,800.38/x
  3. Step 3: Cross multiply
    35,713.50x = 49,284.63 × 19,800.38
  4. Step 4: Simplify right side
    35,713.50x = 975,854,155.74
  5. Step 5: Solve for x
    x = 975,854,155.74/35,713.50
  6. Step 6: Final answer
    x = 27,324.52

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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.