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Finding the Fourth Proportional to 30,928.50, 46,393.02 and 10,152

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Solution

The fourth proportional to 30,928.50, 46,393.02 and 10,152 is: 15,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.50 : 46,393.02 = 10,152 : x
  2. Step 2: Convert to fraction form
    30,928.50/46,393.02 = 10,152/x
  3. Step 3: Cross multiply
    30,928.50x = 46,393.02 × 10,152
  4. Step 4: Simplify right side
    30,928.50x = 470,981,939.04
  5. Step 5: Solve for x
    x = 470,981,939.04/30,928.50
  6. Step 6: Final answer
    x = 15,228.09

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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.