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Finding the Fourth Proportional to 195,798.48, 293,698 and 48,054.48

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Solution

The fourth proportional to 195,798.48, 293,698 and 48,054.48 is: 72,081.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,798.48 : 293,698 = 48,054.48 : x
  2. Step 2: Convert to fraction form
    195,798.48/293,698 = 48,054.48/x
  3. Step 3: Cross multiply
    195,798.48x = 293,698 × 48,054.48
  4. Step 4: Simplify right side
    195,798.48x = 14,113,504,667.04
  5. Step 5: Solve for x
    x = 14,113,504,667.04/195,798.48
  6. Step 6: Final answer
    x = 72,081.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.