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Finding the Fourth Proportional to 30,894.80, 46,342.20 and 10,120.40

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Solution

The fourth proportional to 30,894.80, 46,342.20 and 10,120.40 is: 15,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.80 : 46,342.20 = 10,120.40 : x
  2. Step 2: Convert to fraction form
    30,894.80/46,342.20 = 10,120.40/x
  3. Step 3: Cross multiply
    30,894.80x = 46,342.20 × 10,120.40
  4. Step 4: Simplify right side
    30,894.80x = 469,001,600.88
  5. Step 5: Solve for x
    x = 469,001,600.88/30,894.80
  6. Step 6: Final answer
    x = 15,180.60

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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.