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Finding the Fourth Proportional to 143,064.32, 214,596.48 and 44,576

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Solution

The fourth proportional to 143,064.32, 214,596.48 and 44,576 is: 66,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,064.32 : 214,596.48 = 44,576 : x
  2. Step 2: Convert to fraction form
    143,064.32/214,596.48 = 44,576/x
  3. Step 3: Cross multiply
    143,064.32x = 214,596.48 × 44,576
  4. Step 4: Simplify right side
    143,064.32x = 9,565,852,692.48
  5. Step 5: Solve for x
    x = 9,565,852,692.48/143,064.32
  6. Step 6: Final answer
    x = 66,864

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.