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Finding the Fourth Proportional to 30,829.62, 46,211.61 and 16,023.63

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Solution

The fourth proportional to 30,829.62, 46,211.61 and 16,023.63 is: 24,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.62 : 46,211.61 = 16,023.63 : x
  2. Step 2: Convert to fraction form
    30,829.62/46,211.61 = 16,023.63/x
  3. Step 3: Cross multiply
    30,829.62x = 46,211.61 × 16,023.63
  4. Step 4: Simplify right side
    30,829.62x = 740,477,740.34
  5. Step 5: Solve for x
    x = 740,477,740.34/30,829.62
  6. Step 6: Final answer
    x = 24,018.39

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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.