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Finding the Fourth Proportional to 30,511.43, 42,084.06 and 28,001.64

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Solution

The fourth proportional to 30,511.43, 42,084.06 and 28,001.64 is: 38,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.43 : 42,084.06 = 28,001.64 : x
  2. Step 2: Convert to fraction form
    30,511.43/42,084.06 = 28,001.64/x
  3. Step 3: Cross multiply
    30,511.43x = 42,084.06 × 28,001.64
  4. Step 4: Simplify right side
    30,511.43x = 1,178,422,697.86
  5. Step 5: Solve for x
    x = 1,178,422,697.86/30,511.43
  6. Step 6: Final answer
    x = 38,622.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.