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Finding the Fourth Proportional to 30,649.76, 42,296.26 and 17,037.30

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Solution

The fourth proportional to 30,649.76, 42,296.26 and 17,037.30 is: 23,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.76 : 42,296.26 = 17,037.30 : x
  2. Step 2: Convert to fraction form
    30,649.76/42,296.26 = 17,037.30/x
  3. Step 3: Cross multiply
    30,649.76x = 42,296.26 × 17,037.30
  4. Step 4: Simplify right side
    30,649.76x = 720,614,070.50
  5. Step 5: Solve for x
    x = 720,614,070.50/30,649.76
  6. Step 6: Final answer
    x = 23,511.25

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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.