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Finding the Fourth Proportional to 30,811.34, 46,217.01 and 10,034.84

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Solution

The fourth proportional to 30,811.34, 46,217.01 and 10,034.84 is: 15,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.34 : 46,217.01 = 10,034.84 : x
  2. Step 2: Convert to fraction form
    30,811.34/46,217.01 = 10,034.84/x
  3. Step 3: Cross multiply
    30,811.34x = 46,217.01 × 10,034.84
  4. Step 4: Simplify right side
    30,811.34x = 463,780,224.04
  5. Step 5: Solve for x
    x = 463,780,224.04/30,811.34
  6. Step 6: Final answer
    x = 15,052.26

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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.