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Finding the Fourth Proportional to 47,161.98, 65,097.41 and 28,055.30

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Solution

The fourth proportional to 47,161.98, 65,097.41 and 28,055.30 is: 38,724.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,161.98 : 65,097.41 = 28,055.30 : x
  2. Step 2: Convert to fraction form
    47,161.98/65,097.41 = 28,055.30/x
  3. Step 3: Cross multiply
    47,161.98x = 65,097.41 × 28,055.30
  4. Step 4: Simplify right side
    47,161.98x = 1,826,326,901.01
  5. Step 5: Solve for x
    x = 1,826,326,901.01/47,161.98
  6. Step 6: Final answer
    x = 38,724.56

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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.