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Finding the Fourth Proportional to 53,190, 73,392.48 and 31,974.48

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Solution

The fourth proportional to 53,190, 73,392.48 and 31,974.48 is: 44,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,190 : 73,392.48 = 31,974.48 : x
  2. Step 2: Convert to fraction form
    53,190/73,392.48 = 31,974.48/x
  3. Step 3: Cross multiply
    53,190x = 73,392.48 × 31,974.48
  4. Step 4: Simplify right side
    53,190x = 2,346,686,383.91
  5. Step 5: Solve for x
    x = 2,346,686,383.91/53,190
  6. Step 6: Final answer
    x = 44,118.94

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1.5x scale

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.