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Finding the Fourth Proportional to 30,903.14, 42,646.38 and 16,756

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Solution

The fourth proportional to 30,903.14, 42,646.38 and 16,756 is: 23,123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,903.14 : 42,646.38 = 16,756 : x
  2. Step 2: Convert to fraction form
    30,903.14/42,646.38 = 16,756/x
  3. Step 3: Cross multiply
    30,903.14x = 42,646.38 × 16,756
  4. Step 4: Simplify right side
    30,903.14x = 714,582,743.28
  5. Step 5: Solve for x
    x = 714,582,743.28/30,903.14
  6. Step 6: Final answer
    x = 23,123.31

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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.