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Finding the Fourth Proportional to 42,838.98, 64,257.81 and 11,674.14

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Solution

The fourth proportional to 42,838.98, 64,257.81 and 11,674.14 is: 17,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838.98 : 64,257.81 = 11,674.14 : x
  2. Step 2: Convert to fraction form
    42,838.98/64,257.81 = 11,674.14/x
  3. Step 3: Cross multiply
    42,838.98x = 64,257.81 × 11,674.14
  4. Step 4: Simplify right side
    42,838.98x = 750,154,670.03
  5. Step 5: Solve for x
    x = 750,154,670.03/42,838.98
  6. Step 6: Final answer
    x = 17,511.03

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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.