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Finding the Fourth Proportional to 102,564, 153,846 and 28,692

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Solution

The fourth proportional to 102,564, 153,846 and 28,692 is: 43,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564 : 153,846 = 28,692 : x
  2. Step 2: Convert to fraction form
    102,564/153,846 = 28,692/x
  3. Step 3: Cross multiply
    102,564x = 153,846 × 28,692
  4. Step 4: Simplify right side
    102,564x = 4,414,149,432
  5. Step 5: Solve for x
    x = 4,414,149,432/102,564
  6. Step 6: Final answer
    x = 43,038

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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.