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Finding the Fourth Proportional to 29,901.15, 41,256.14 and 19,278

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Solution

The fourth proportional to 29,901.15, 41,256.14 and 19,278 is: 26,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,901.15 : 41,256.14 = 19,278 : x
  2. Step 2: Convert to fraction form
    29,901.15/41,256.14 = 19,278/x
  3. Step 3: Cross multiply
    29,901.15x = 41,256.14 × 19,278
  4. Step 4: Simplify right side
    29,901.15x = 795,335,770.53
  5. Step 5: Solve for x
    x = 795,335,770.53/29,901.15
  6. Step 6: Final answer
    x = 26,598.84

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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.