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Finding the Fourth Proportional to 20,083.40, 30,125.10 and 14,899.40

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Solution

The fourth proportional to 20,083.40, 30,125.10 and 14,899.40 is: 22,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.40 : 30,125.10 = 14,899.40 : x
  2. Step 2: Convert to fraction form
    20,083.40/30,125.10 = 14,899.40/x
  3. Step 3: Cross multiply
    20,083.40x = 30,125.10 × 14,899.40
  4. Step 4: Simplify right side
    20,083.40x = 448,845,914.94
  5. Step 5: Solve for x
    x = 448,845,914.94/20,083.40
  6. Step 6: Final answer
    x = 22,349.10

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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.