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Finding the Fourth Proportional to 30,833.96, 46,212 and 25,701.80

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Solution

The fourth proportional to 30,833.96, 46,212 and 25,701.80 is: 38,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.96 : 46,212 = 25,701.80 : x
  2. Step 2: Convert to fraction form
    30,833.96/46,212 = 25,701.80/x
  3. Step 3: Cross multiply
    30,833.96x = 46,212 × 25,701.80
  4. Step 4: Simplify right side
    30,833.96x = 1,187,731,581.60
  5. Step 5: Solve for x
    x = 1,187,731,581.60/30,833.96
  6. Step 6: Final answer
    x = 38,520.24

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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.