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Finding the Fourth Proportional to 30,838.62, 46,209.47 and 23,835.78

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Solution

The fourth proportional to 30,838.62, 46,209.47 and 23,835.78 is: 35,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.62 : 46,209.47 = 23,835.78 : x
  2. Step 2: Convert to fraction form
    30,838.62/46,209.47 = 23,835.78/x
  3. Step 3: Cross multiply
    30,838.62x = 46,209.47 × 23,835.78
  4. Step 4: Simplify right side
    30,838.62x = 1,101,438,529.79
  5. Step 5: Solve for x
    x = 1,101,438,529.79/30,838.62
  6. Step 6: Final answer
    x = 35,716.21

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1.5x scale

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.