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Finding the Fourth Proportional to 30,761.19, 46,141.74 and 14,110.20

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Solution

The fourth proportional to 30,761.19, 46,141.74 and 14,110.20 is: 21,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,761.19 : 46,141.74 = 14,110.20 : x
  2. Step 2: Convert to fraction form
    30,761.19/46,141.74 = 14,110.20/x
  3. Step 3: Cross multiply
    30,761.19x = 46,141.74 × 14,110.20
  4. Step 4: Simplify right side
    30,761.19x = 651,069,179.75
  5. Step 5: Solve for x
    x = 651,069,179.75/30,761.19
  6. Step 6: Final answer
    x = 21,165.28

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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.