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Finding the Fourth Proportional to 30,268.52, 45,410.04 and 9,492

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Solution

The fourth proportional to 30,268.52, 45,410.04 and 9,492 is: 14,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.52 : 45,410.04 = 9,492 : x
  2. Step 2: Convert to fraction form
    30,268.52/45,410.04 = 9,492/x
  3. Step 3: Cross multiply
    30,268.52x = 45,410.04 × 9,492
  4. Step 4: Simplify right side
    30,268.52x = 431,032,099.68
  5. Step 5: Solve for x
    x = 431,032,099.68/30,268.52
  6. Step 6: Final answer
    x = 14,240.28

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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.