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Finding the Fourth Proportional to 47,678.34, 65,799.09 and 27,538.92

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Solution

The fourth proportional to 47,678.34, 65,799.09 and 27,538.92 is: 38,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,678.34 : 65,799.09 = 27,538.92 : x
  2. Step 2: Convert to fraction form
    47,678.34/65,799.09 = 27,538.92/x
  3. Step 3: Cross multiply
    47,678.34x = 65,799.09 × 27,538.92
  4. Step 4: Simplify right side
    47,678.34x = 1,812,035,875.58
  5. Step 5: Solve for x
    x = 1,812,035,875.58/47,678.34
  6. Step 6: Final answer
    x = 38,005.43

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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.