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Finding the Fourth Proportional to 30,542.86, 45,812.11 and 9,482.39

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Solution

The fourth proportional to 30,542.86, 45,812.11 and 9,482.39 is: 14,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.86 : 45,812.11 = 9,482.39 : x
  2. Step 2: Convert to fraction form
    30,542.86/45,812.11 = 9,482.39/x
  3. Step 3: Cross multiply
    30,542.86x = 45,812.11 × 9,482.39
  4. Step 4: Simplify right side
    30,542.86x = 434,408,293.74
  5. Step 5: Solve for x
    x = 434,408,293.74/30,542.86
  6. Step 6: Final answer
    x = 14,222.91

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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.