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Finding the Fourth Proportional to 30,835.70, 46,267.67 and 16,774.65

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Solution

The fourth proportional to 30,835.70, 46,267.67 and 16,774.65 is: 25,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.70 : 46,267.67 = 16,774.65 : x
  2. Step 2: Convert to fraction form
    30,835.70/46,267.67 = 16,774.65/x
  3. Step 3: Cross multiply
    30,835.70x = 46,267.67 × 16,774.65
  4. Step 4: Simplify right side
    30,835.70x = 776,124,186.01
  5. Step 5: Solve for x
    x = 776,124,186.01/30,835.70
  6. Step 6: Final answer
    x = 25,169.66

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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.