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Finding the Fourth Proportional to 30,817.92, 46,223.22 and 8,632.92

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Solution

The fourth proportional to 30,817.92, 46,223.22 and 8,632.92 is: 12,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.92 : 46,223.22 = 8,632.92 : x
  2. Step 2: Convert to fraction form
    30,817.92/46,223.22 = 8,632.92/x
  3. Step 3: Cross multiply
    30,817.92x = 46,223.22 × 8,632.92
  4. Step 4: Simplify right side
    30,817.92x = 399,041,360.40
  5. Step 5: Solve for x
    x = 399,041,360.40/30,817.92
  6. Step 6: Final answer
    x = 12,948.35

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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.