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Finding the Fourth Proportional to 29,461.02, 44,198.82 and 13,875

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Solution

The fourth proportional to 29,461.02, 44,198.82 and 13,875 is: 20,815.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,461.02 : 44,198.82 = 13,875 : x
  2. Step 2: Convert to fraction form
    29,461.02/44,198.82 = 13,875/x
  3. Step 3: Cross multiply
    29,461.02x = 44,198.82 × 13,875
  4. Step 4: Simplify right side
    29,461.02x = 613,258,627.50
  5. Step 5: Solve for x
    x = 613,258,627.50/29,461.02
  6. Step 6: Final answer
    x = 20,815.93

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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.