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Finding the Fourth Proportional to 30,767, 42,458.46 and 16,619.85

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Solution

The fourth proportional to 30,767, 42,458.46 and 16,619.85 is: 22,935.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767 : 42,458.46 = 16,619.85 : x
  2. Step 2: Convert to fraction form
    30,767/42,458.46 = 16,619.85/x
  3. Step 3: Cross multiply
    30,767x = 42,458.46 × 16,619.85
  4. Step 4: Simplify right side
    30,767x = 705,653,024.14
  5. Step 5: Solve for x
    x = 705,653,024.14/30,767
  6. Step 6: Final answer
    x = 22,935.39

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