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Finding the Fourth Proportional to 27,048.12, 40,577.94 and 11,465.40

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Solution

The fourth proportional to 27,048.12, 40,577.94 and 11,465.40 is: 17,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048.12 : 40,577.94 = 11,465.40 : x
  2. Step 2: Convert to fraction form
    27,048.12/40,577.94 = 11,465.40/x
  3. Step 3: Cross multiply
    27,048.12x = 40,577.94 × 11,465.40
  4. Step 4: Simplify right side
    27,048.12x = 465,242,313.28
  5. Step 5: Solve for x
    x = 465,242,313.28/27,048.12
  6. Step 6: Final answer
    x = 17,200.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.