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Finding the Fourth Proportional to 30,442.68, 45,664.10 and 9,382.04

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Solution

The fourth proportional to 30,442.68, 45,664.10 and 9,382.04 is: 14,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.68 : 45,664.10 = 9,382.04 : x
  2. Step 2: Convert to fraction form
    30,442.68/45,664.10 = 9,382.04/x
  3. Step 3: Cross multiply
    30,442.68x = 45,664.10 × 9,382.04
  4. Step 4: Simplify right side
    30,442.68x = 428,422,137.53
  5. Step 5: Solve for x
    x = 428,422,137.53/30,442.68
  6. Step 6: Final answer
    x = 14,073.08

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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.