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Finding the Fourth Proportional to 85,643.65, 128,509.78 and 62,144.94

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Solution

The fourth proportional to 85,643.65, 128,509.78 and 62,144.94 is: 93,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,643.65 : 128,509.78 = 62,144.94 : x
  2. Step 2: Convert to fraction form
    85,643.65/128,509.78 = 62,144.94/x
  3. Step 3: Cross multiply
    85,643.65x = 128,509.78 × 62,144.94
  4. Step 4: Simplify right side
    85,643.65x = 7,986,231,852.56
  5. Step 5: Solve for x
    x = 7,986,231,852.56/85,643.65
  6. Step 6: Final answer
    x = 93,249.55

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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.