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Finding the Fourth Proportional to 30,244.88, 45,366 and 9,184.16

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Solution

The fourth proportional to 30,244.88, 45,366 and 9,184.16 is: 13,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244.88 : 45,366 = 9,184.16 : x
  2. Step 2: Convert to fraction form
    30,244.88/45,366 = 9,184.16/x
  3. Step 3: Cross multiply
    30,244.88x = 45,366 × 9,184.16
  4. Step 4: Simplify right side
    30,244.88x = 416,648,602.56
  5. Step 5: Solve for x
    x = 416,648,602.56/30,244.88
  6. Step 6: Final answer
    x = 13,775.84

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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.