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Finding the Fourth Proportional to 30,841.64, 46,200.78 and 14,178.84

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Solution

The fourth proportional to 30,841.64, 46,200.78 and 14,178.84 is: 21,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.64 : 46,200.78 = 14,178.84 : x
  2. Step 2: Convert to fraction form
    30,841.64/46,200.78 = 14,178.84/x
  3. Step 3: Cross multiply
    30,841.64x = 46,200.78 × 14,178.84
  4. Step 4: Simplify right side
    30,841.64x = 655,073,467.50
  5. Step 5: Solve for x
    x = 655,073,467.50/30,841.64
  6. Step 6: Final answer
    x = 21,239.90

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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.