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Finding the Fourth Proportional to 42,728.86, 64,093.44 and 13,146.50

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Solution

The fourth proportional to 42,728.86, 64,093.44 and 13,146.50 is: 19,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728.86 : 64,093.44 = 13,146.50 : x
  2. Step 2: Convert to fraction form
    42,728.86/64,093.44 = 13,146.50/x
  3. Step 3: Cross multiply
    42,728.86x = 64,093.44 × 13,146.50
  4. Step 4: Simplify right side
    42,728.86x = 842,604,408.96
  5. Step 5: Solve for x
    x = 842,604,408.96/42,728.86
  6. Step 6: Final answer
    x = 19,719.80

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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.