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Finding the Fourth Proportional to 103,896.32, 143,376.95 and 59,184.32

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Solution

The fourth proportional to 103,896.32, 143,376.95 and 59,184.32 is: 81,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896.32 : 143,376.95 = 59,184.32 : x
  2. Step 2: Convert to fraction form
    103,896.32/143,376.95 = 59,184.32/x
  3. Step 3: Cross multiply
    103,896.32x = 143,376.95 × 59,184.32
  4. Step 4: Simplify right side
    103,896.32x = 8,485,667,289.42
  5. Step 5: Solve for x
    x = 8,485,667,289.42/103,896.32
  6. Step 6: Final answer
    x = 81,674.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.