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Finding the Fourth Proportional to 30,427.85, 45,647.96 and 12,897.63

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Solution

The fourth proportional to 30,427.85, 45,647.96 and 12,897.63 is: 19,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,427.85 : 45,647.96 = 12,897.63 : x
  2. Step 2: Convert to fraction form
    30,427.85/45,647.96 = 12,897.63/x
  3. Step 3: Cross multiply
    30,427.85x = 45,647.96 × 12,897.63
  4. Step 4: Simplify right side
    30,427.85x = 588,750,433.85
  5. Step 5: Solve for x
    x = 588,750,433.85/30,427.85
  6. Step 6: Final answer
    x = 19,349.06

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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.