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Finding the Fourth Proportional to 30,741.50, 46,113.06 and 12,273.50

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Solution

The fourth proportional to 30,741.50, 46,113.06 and 12,273.50 is: 18,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.50 : 46,113.06 = 12,273.50 : x
  2. Step 2: Convert to fraction form
    30,741.50/46,113.06 = 12,273.50/x
  3. Step 3: Cross multiply
    30,741.50x = 46,113.06 × 12,273.50
  4. Step 4: Simplify right side
    30,741.50x = 565,968,641.91
  5. Step 5: Solve for x
    x = 565,968,641.91/30,741.50
  6. Step 6: Final answer
    x = 18,410.57

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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.