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Finding the Fourth Proportional to 30,955.74, 42,719.31 and 16,808.82

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Solution

The fourth proportional to 30,955.74, 42,719.31 and 16,808.82 is: 23,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.74 : 42,719.31 = 16,808.82 : x
  2. Step 2: Convert to fraction form
    30,955.74/42,719.31 = 16,808.82/x
  3. Step 3: Cross multiply
    30,955.74x = 42,719.31 × 16,808.82
  4. Step 4: Simplify right side
    30,955.74x = 718,061,192.31
  5. Step 5: Solve for x
    x = 718,061,192.31/30,955.74
  6. Step 6: Final answer
    x = 23,196.38

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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.