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Finding the Fourth Proportional to 30,241.38, 45,375.04 and 10,509.16

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Solution

The fourth proportional to 30,241.38, 45,375.04 and 10,509.16 is: 15,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241.38 : 45,375.04 = 10,509.16 : x
  2. Step 2: Convert to fraction form
    30,241.38/45,375.04 = 10,509.16/x
  3. Step 3: Cross multiply
    30,241.38x = 45,375.04 × 10,509.16
  4. Step 4: Simplify right side
    30,241.38x = 476,853,555.37
  5. Step 5: Solve for x
    x = 476,853,555.37/30,241.38
  6. Step 6: Final answer
    x = 15,768.25

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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.