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Finding the Fourth Proportional to 30,427.78, 45,645.52 and 10,441.17

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Solution

The fourth proportional to 30,427.78, 45,645.52 and 10,441.17 is: 15,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.78 : 45,645.52 = 10,441.17 : x
  2. Step 2: Convert to fraction form
    30,427.78/45,645.52 = 10,441.17/x
  3. Step 3: Cross multiply
    30,427.78x = 45,645.52 × 10,441.17
  4. Step 4: Simplify right side
    30,427.78x = 476,592,634.06
  5. Step 5: Solve for x
    x = 476,592,634.06/30,427.78
  6. Step 6: Final answer
    x = 15,663.08

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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.