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Finding the Fourth Proportional to 30,902.50, 46,326.25 and 11,176.68

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Solution

The fourth proportional to 30,902.50, 46,326.25 and 11,176.68 is: 16,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.50 : 46,326.25 = 11,176.68 : x
  2. Step 2: Convert to fraction form
    30,902.50/46,326.25 = 11,176.68/x
  3. Step 3: Cross multiply
    30,902.50x = 46,326.25 × 11,176.68
  4. Step 4: Simplify right side
    30,902.50x = 517,773,671.85
  5. Step 5: Solve for x
    x = 517,773,671.85/30,902.50
  6. Step 6: Final answer
    x = 16,755.07

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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.