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Finding the Fourth Proportional to 30,846.80, 46,270.20 and 28,773.20

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Solution

The fourth proportional to 30,846.80, 46,270.20 and 28,773.20 is: 43,159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846.80 : 46,270.20 = 28,773.20 : x
  2. Step 2: Convert to fraction form
    30,846.80/46,270.20 = 28,773.20/x
  3. Step 3: Cross multiply
    30,846.80x = 46,270.20 × 28,773.20
  4. Step 4: Simplify right side
    30,846.80x = 1,331,341,718.64
  5. Step 5: Solve for x
    x = 1,331,341,718.64/30,846.80
  6. Step 6: Final answer
    x = 43,159.80

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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.