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Finding the Fourth Proportional to 30,859.94, 46,280.36 and 11,136

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Solution

The fourth proportional to 30,859.94, 46,280.36 and 11,136 is: 16,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.94 : 46,280.36 = 11,136 : x
  2. Step 2: Convert to fraction form
    30,859.94/46,280.36 = 11,136/x
  3. Step 3: Cross multiply
    30,859.94x = 46,280.36 × 11,136
  4. Step 4: Simplify right side
    30,859.94x = 515,378,088.96
  5. Step 5: Solve for x
    x = 515,378,088.96/30,859.94
  6. Step 6: Final answer
    x = 16,700.55

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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.