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Finding the Fourth Proportional to 30,867.60, 46,315.80 and 16,093.20

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Solution

The fourth proportional to 30,867.60, 46,315.80 and 16,093.20 is: 24,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.60 : 46,315.80 = 16,093.20 : x
  2. Step 2: Convert to fraction form
    30,867.60/46,315.80 = 16,093.20/x
  3. Step 3: Cross multiply
    30,867.60x = 46,315.80 × 16,093.20
  4. Step 4: Simplify right side
    30,867.60x = 745,369,432.56
  5. Step 5: Solve for x
    x = 745,369,432.56/30,867.60
  6. Step 6: Final answer
    x = 24,147.31

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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.