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Finding the Fourth Proportional to 30,806.56, 42,511.40 and 17,377.84

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Solution

The fourth proportional to 30,806.56, 42,511.40 and 17,377.84 is: 23,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.56 : 42,511.40 = 17,377.84 : x
  2. Step 2: Convert to fraction form
    30,806.56/42,511.40 = 17,377.84/x
  3. Step 3: Cross multiply
    30,806.56x = 42,511.40 × 17,377.84
  4. Step 4: Simplify right side
    30,806.56x = 738,756,307.38
  5. Step 5: Solve for x
    x = 738,756,307.38/30,806.56
  6. Step 6: Final answer
    x = 23,980.49

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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.