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Finding the Fourth Proportional to 29,677.31, 44,515.97 and 12,140

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Solution

The fourth proportional to 29,677.31, 44,515.97 and 12,140 is: 18,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.31 : 44,515.97 = 12,140 : x
  2. Step 2: Convert to fraction form
    29,677.31/44,515.97 = 12,140/x
  3. Step 3: Cross multiply
    29,677.31x = 44,515.97 × 12,140
  4. Step 4: Simplify right side
    29,677.31x = 540,423,815.10
  5. Step 5: Solve for x
    x = 540,423,815.10/29,677.31
  6. Step 6: Final answer
    x = 18,210.00

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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.