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Finding the Fourth Proportional to 30,511, 45,761.10 and 13,867.12

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Solution

The fourth proportional to 30,511, 45,761.10 and 13,867.12 is: 20,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511 : 45,761.10 = 13,867.12 : x
  2. Step 2: Convert to fraction form
    30,511/45,761.10 = 13,867.12/x
  3. Step 3: Cross multiply
    30,511x = 45,761.10 × 13,867.12
  4. Step 4: Simplify right side
    30,511x = 634,574,665.03
  5. Step 5: Solve for x
    x = 634,574,665.03/30,511
  6. Step 6: Final answer
    x = 20,798.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.