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Finding the Fourth Proportional to 50,485.07, 69,669.03 and 27,824.07

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Solution

The fourth proportional to 50,485.07, 69,669.03 and 27,824.07 is: 38,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.07 : 69,669.03 = 27,824.07 : x
  2. Step 2: Convert to fraction form
    50,485.07/69,669.03 = 27,824.07/x
  3. Step 3: Cross multiply
    50,485.07x = 69,669.03 × 27,824.07
  4. Step 4: Simplify right side
    50,485.07x = 1,938,475,967.55
  5. Step 5: Solve for x
    x = 1,938,475,967.55/50,485.07
  6. Step 6: Final answer
    x = 38,397.02

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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.