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Finding the Fourth Proportional to 53,198.38, 73,412.86 and 28,999.60

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Solution

The fourth proportional to 53,198.38, 73,412.86 and 28,999.60 is: 40,018.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198.38 : 73,412.86 = 28,999.60 : x
  2. Step 2: Convert to fraction form
    53,198.38/73,412.86 = 28,999.60/x
  3. Step 3: Cross multiply
    53,198.38x = 73,412.86 × 28,999.60
  4. Step 4: Simplify right side
    53,198.38x = 2,128,943,574.86
  5. Step 5: Solve for x
    x = 2,128,943,574.86/53,198.38
  6. Step 6: Final answer
    x = 40,018.95

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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.