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Finding the Fourth Proportional to 34,257, 51,390.64 and 12,066.48

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Solution

The fourth proportional to 34,257, 51,390.64 and 12,066.48 is: 18,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,257 : 51,390.64 = 12,066.48 : x
  2. Step 2: Convert to fraction form
    34,257/51,390.64 = 12,066.48/x
  3. Step 3: Cross multiply
    34,257x = 51,390.64 × 12,066.48
  4. Step 4: Simplify right side
    34,257x = 620,104,129.75
  5. Step 5: Solve for x
    x = 620,104,129.75/34,257
  6. Step 6: Final answer
    x = 18,101.53

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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.