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Finding the Fourth Proportional to 27,054, 40,597.61 and 11,471.63

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Solution

The fourth proportional to 27,054, 40,597.61 and 11,471.63 is: 17,214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054 : 40,597.61 = 11,471.63 : x
  2. Step 2: Convert to fraction form
    27,054/40,597.61 = 11,471.63/x
  3. Step 3: Cross multiply
    27,054x = 40,597.61 × 11,471.63
  4. Step 4: Simplify right side
    27,054x = 465,720,500.46
  5. Step 5: Solve for x
    x = 465,720,500.46/27,054
  6. Step 6: Final answer
    x = 17,214.48

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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.