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Finding the Fourth Proportional to 28,897.12, 43,347.30 and 8,119

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Solution

The fourth proportional to 28,897.12, 43,347.30 and 8,119 is: 12,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,897.12 : 43,347.30 = 8,119 : x
  2. Step 2: Convert to fraction form
    28,897.12/43,347.30 = 8,119/x
  3. Step 3: Cross multiply
    28,897.12x = 43,347.30 × 8,119
  4. Step 4: Simplify right side
    28,897.12x = 351,936,728.70
  5. Step 5: Solve for x
    x = 351,936,728.70/28,897.12
  6. Step 6: Final answer
    x = 12,178.96

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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.