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Finding the Fourth Proportional to 30,661.46, 45,927.54 and 14,035.46

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Solution

The fourth proportional to 30,661.46, 45,927.54 and 14,035.46 is: 21,023.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.46 : 45,927.54 = 14,035.46 : x
  2. Step 2: Convert to fraction form
    30,661.46/45,927.54 = 14,035.46/x
  3. Step 3: Cross multiply
    30,661.46x = 45,927.54 × 14,035.46
  4. Step 4: Simplify right side
    30,661.46x = 644,613,920.93
  5. Step 5: Solve for x
    x = 644,613,920.93/30,661.46
  6. Step 6: Final answer
    x = 21,023.59

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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.