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Finding the Fourth Proportional to 50,564.67, 69,778.76 and 27,904.11

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Solution

The fourth proportional to 50,564.67, 69,778.76 and 27,904.11 is: 38,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564.67 : 69,778.76 = 27,904.11 : x
  2. Step 2: Convert to fraction form
    50,564.67/69,778.76 = 27,904.11/x
  3. Step 3: Cross multiply
    50,564.67x = 69,778.76 × 27,904.11
  4. Step 4: Simplify right side
    50,564.67x = 1,947,114,055.18
  5. Step 5: Solve for x
    x = 1,947,114,055.18/50,564.67
  6. Step 6: Final answer
    x = 38,507.40

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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.