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Finding the Fourth Proportional to 53,855.46, 74,323.14 and 29,982.13

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Solution

The fourth proportional to 53,855.46, 74,323.14 and 29,982.13 is: 41,376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855.46 : 74,323.14 = 29,982.13 : x
  2. Step 2: Convert to fraction form
    53,855.46/74,323.14 = 29,982.13/x
  3. Step 3: Cross multiply
    53,855.46x = 74,323.14 × 29,982.13
  4. Step 4: Simplify right side
    53,855.46x = 2,228,365,859.68
  5. Step 5: Solve for x
    x = 2,228,365,859.68/53,855.46
  6. Step 6: Final answer
    x = 41,376.79

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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.