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Finding the Fourth Proportional to 49,354.34, 68,108.99 and 27,848.64

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Solution

The fourth proportional to 49,354.34, 68,108.99 and 27,848.64 is: 38,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,354.34 : 68,108.99 = 27,848.64 : x
  2. Step 2: Convert to fraction form
    49,354.34/68,108.99 = 27,848.64/x
  3. Step 3: Cross multiply
    49,354.34x = 68,108.99 × 27,848.64
  4. Step 4: Simplify right side
    49,354.34x = 1,896,742,642.62
  5. Step 5: Solve for x
    x = 1,896,742,642.62/49,354.34
  6. Step 6: Final answer
    x = 38,431.13

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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.