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Finding the Fourth Proportional to 29,706.40, 40,994.84 and 16,277.54

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Solution

The fourth proportional to 29,706.40, 40,994.84 and 16,277.54 is: 22,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.40 : 40,994.84 = 16,277.54 : x
  2. Step 2: Convert to fraction form
    29,706.40/40,994.84 = 16,277.54/x
  3. Step 3: Cross multiply
    29,706.40x = 40,994.84 × 16,277.54
  4. Step 4: Simplify right side
    29,706.40x = 667,295,066.51
  5. Step 5: Solve for x
    x = 667,295,066.51/29,706.40
  6. Step 6: Final answer
    x = 22,463.01

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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.