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Finding the Fourth Proportional to 42,709.36, 64,065.48 and 11,544.88

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Solution

The fourth proportional to 42,709.36, 64,065.48 and 11,544.88 is: 17,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.36 : 64,065.48 = 11,544.88 : x
  2. Step 2: Convert to fraction form
    42,709.36/64,065.48 = 11,544.88/x
  3. Step 3: Cross multiply
    42,709.36x = 64,065.48 × 11,544.88
  4. Step 4: Simplify right side
    42,709.36x = 739,628,278.74
  5. Step 5: Solve for x
    x = 739,628,278.74/42,709.36
  6. Step 6: Final answer
    x = 17,317.71

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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.