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Finding the Fourth Proportional to 35,842.68, 49,464.14 and 19,710.65

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Solution

The fourth proportional to 35,842.68, 49,464.14 and 19,710.65 is: 27,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.68 : 49,464.14 = 19,710.65 : x
  2. Step 2: Convert to fraction form
    35,842.68/49,464.14 = 19,710.65/x
  3. Step 3: Cross multiply
    35,842.68x = 49,464.14 × 19,710.65
  4. Step 4: Simplify right side
    35,842.68x = 974,970,347.95
  5. Step 5: Solve for x
    x = 974,970,347.95/35,842.68
  6. Step 6: Final answer
    x = 27,201.38

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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.