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Finding the Fourth Proportional to 28,335.78, 42,506.06 and 8,614.50

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Solution

The fourth proportional to 28,335.78, 42,506.06 and 8,614.50 is: 12,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,335.78 : 42,506.06 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    28,335.78/42,506.06 = 8,614.50/x
  3. Step 3: Cross multiply
    28,335.78x = 42,506.06 × 8,614.50
  4. Step 4: Simplify right side
    28,335.78x = 366,168,410.80
  5. Step 5: Solve for x
    x = 366,168,410.80/28,335.78
  6. Step 6: Final answer
    x = 12,922.48

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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.