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Finding the Fourth Proportional to 30,682.34, 42,329.64 and 17,250.50

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Solution

The fourth proportional to 30,682.34, 42,329.64 and 17,250.50 is: 23,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.34 : 42,329.64 = 17,250.50 : x
  2. Step 2: Convert to fraction form
    30,682.34/42,329.64 = 17,250.50/x
  3. Step 3: Cross multiply
    30,682.34x = 42,329.64 × 17,250.50
  4. Step 4: Simplify right side
    30,682.34x = 730,207,454.82
  5. Step 5: Solve for x
    x = 730,207,454.82/30,682.34
  6. Step 6: Final answer
    x = 23,798.95

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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.