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Finding the Fourth Proportional to 27,419.10, 38,464.50 and 27,419.10

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Solution

The fourth proportional to 27,419.10, 38,464.50 and 27,419.10 is: 38,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.10 : 38,464.50 = 27,419.10 : x
  2. Step 2: Convert to fraction form
    27,419.10/38,464.50 = 27,419.10/x
  3. Step 3: Cross multiply
    27,419.10x = 38,464.50 × 27,419.10
  4. Step 4: Simplify right side
    27,419.10x = 1,054,661,971.95
  5. Step 5: Solve for x
    x = 1,054,661,971.95/27,419.10
  6. Step 6: Final answer
    x = 38,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.