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Finding the Fourth Proportional to 30,793.83, 42,495.48 and 16,646.67

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Solution

The fourth proportional to 30,793.83, 42,495.48 and 16,646.67 is: 22,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.83 : 42,495.48 = 16,646.67 : x
  2. Step 2: Convert to fraction form
    30,793.83/42,495.48 = 16,646.67/x
  3. Step 3: Cross multiply
    30,793.83x = 42,495.48 × 16,646.67
  4. Step 4: Simplify right side
    30,793.83x = 707,408,391.41
  5. Step 5: Solve for x
    x = 707,408,391.41/30,793.83
  6. Step 6: Final answer
    x = 22,972.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.