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Finding the Fourth Proportional to 49,102.88, 67,763.76 and 27,881.60

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Solution

The fourth proportional to 49,102.88, 67,763.76 and 27,881.60 is: 38,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102.88 : 67,763.76 = 27,881.60 : x
  2. Step 2: Convert to fraction form
    49,102.88/67,763.76 = 27,881.60/x
  3. Step 3: Cross multiply
    49,102.88x = 67,763.76 × 27,881.60
  4. Step 4: Simplify right side
    49,102.88x = 1,889,362,050.82
  5. Step 5: Solve for x
    x = 1,889,362,050.82/49,102.88
  6. Step 6: Final answer
    x = 38,477.62

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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.