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Finding the Fourth Proportional to 30,808, 46,213.35 and 10,031.50

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Solution

The fourth proportional to 30,808, 46,213.35 and 10,031.50 is: 15,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 46,213.35 = 10,031.50 : x
  2. Step 2: Convert to fraction form
    30,808/46,213.35 = 10,031.50/x
  3. Step 3: Cross multiply
    30,808x = 46,213.35 × 10,031.50
  4. Step 4: Simplify right side
    30,808x = 463,589,220.53
  5. Step 5: Solve for x
    x = 463,589,220.53/30,808
  6. Step 6: Final answer
    x = 15,047.69

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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.