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Finding the Fourth Proportional to 50,462, 69,639.72 and 28,106

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Solution

The fourth proportional to 50,462, 69,639.72 and 28,106 is: 38,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,462 : 69,639.72 = 28,106 : x
  2. Step 2: Convert to fraction form
    50,462/69,639.72 = 28,106/x
  3. Step 3: Cross multiply
    50,462x = 69,639.72 × 28,106
  4. Step 4: Simplify right side
    50,462x = 1,957,293,970.32
  5. Step 5: Solve for x
    x = 1,957,293,970.32/50,462
  6. Step 6: Final answer
    x = 38,787.48

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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.