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Finding the Fourth Proportional to 42,874.25, 64,315.83 and 11,709.50

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Solution

The fourth proportional to 42,874.25, 64,315.83 and 11,709.50 is: 17,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,874.25 : 64,315.83 = 11,709.50 : x
  2. Step 2: Convert to fraction form
    42,874.25/64,315.83 = 11,709.50/x
  3. Step 3: Cross multiply
    42,874.25x = 64,315.83 × 11,709.50
  4. Step 4: Simplify right side
    42,874.25x = 753,106,211.39
  5. Step 5: Solve for x
    x = 753,106,211.39/42,874.25
  6. Step 6: Final answer
    x = 17,565.47

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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.