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Finding the Fourth Proportional to 42,716.34, 64,074.51 and 11,551.59

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Solution

The fourth proportional to 42,716.34, 64,074.51 and 11,551.59 is: 17,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.34 : 64,074.51 = 11,551.59 : x
  2. Step 2: Convert to fraction form
    42,716.34/64,074.51 = 11,551.59/x
  3. Step 3: Cross multiply
    42,716.34x = 64,074.51 × 11,551.59
  4. Step 4: Simplify right side
    42,716.34x = 740,162,468.97
  5. Step 5: Solve for x
    x = 740,162,468.97/42,716.34
  6. Step 6: Final answer
    x = 17,327.39

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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.