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Finding the Fourth Proportional to 53,635, 74,016.30 and 29,765.52

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Solution

The fourth proportional to 53,635, 74,016.30 and 29,765.52 is: 41,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,635 : 74,016.30 = 29,765.52 : x
  2. Step 2: Convert to fraction form
    53,635/74,016.30 = 29,765.52/x
  3. Step 3: Cross multiply
    53,635x = 74,016.30 × 29,765.52
  4. Step 4: Simplify right side
    53,635x = 2,203,133,657.98
  5. Step 5: Solve for x
    x = 2,203,133,657.98/53,635
  6. Step 6: Final answer
    x = 41,076.42

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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.