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Finding the Fourth Proportional to 29,766.84, 41,080.14 and 19,677.58

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Solution

The fourth proportional to 29,766.84, 41,080.14 and 19,677.58 is: 27,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,766.84 : 41,080.14 = 19,677.58 : x
  2. Step 2: Convert to fraction form
    29,766.84/41,080.14 = 19,677.58/x
  3. Step 3: Cross multiply
    29,766.84x = 41,080.14 × 19,677.58
  4. Step 4: Simplify right side
    29,766.84x = 808,357,741.26
  5. Step 5: Solve for x
    x = 808,357,741.26/29,766.84
  6. Step 6: Final answer
    x = 27,156.32

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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.