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Finding the Fourth Proportional to 50,184.47, 69,254.57 and 27,828.47

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Solution

The fourth proportional to 50,184.47, 69,254.57 and 27,828.47 is: 38,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184.47 : 69,254.57 = 27,828.47 : x
  2. Step 2: Convert to fraction form
    50,184.47/69,254.57 = 27,828.47/x
  3. Step 3: Cross multiply
    50,184.47x = 69,254.57 × 27,828.47
  4. Step 4: Simplify right side
    50,184.47x = 1,927,248,757.60
  5. Step 5: Solve for x
    x = 1,927,248,757.60/50,184.47
  6. Step 6: Final answer
    x = 38,403.29

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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.