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Finding the Fourth Proportional to 30,941.76, 46,412.56 and 12,227.52

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Solution

The fourth proportional to 30,941.76, 46,412.56 and 12,227.52 is: 18,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.76 : 46,412.56 = 12,227.52 : x
  2. Step 2: Convert to fraction form
    30,941.76/46,412.56 = 12,227.52/x
  3. Step 3: Cross multiply
    30,941.76x = 46,412.56 × 12,227.52
  4. Step 4: Simplify right side
    30,941.76x = 567,510,505.65
  5. Step 5: Solve for x
    x = 567,510,505.65/30,941.76
  6. Step 6: Final answer
    x = 18,341.25

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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.