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Finding the Fourth Proportional to 33,347.84, 50,014.32 and 9,971.24

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Solution

The fourth proportional to 33,347.84, 50,014.32 and 9,971.24 is: 14,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,347.84 : 50,014.32 = 9,971.24 : x
  2. Step 2: Convert to fraction form
    33,347.84/50,014.32 = 9,971.24/x
  3. Step 3: Cross multiply
    33,347.84x = 50,014.32 × 9,971.24
  4. Step 4: Simplify right side
    33,347.84x = 498,704,788.16
  5. Step 5: Solve for x
    x = 498,704,788.16/33,347.84
  6. Step 6: Final answer
    x = 14,954.64

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1.5x scale

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.