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Finding the Fourth Proportional to 47,101, 70,651.66 and 14,269

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Solution

The fourth proportional to 47,101, 70,651.66 and 14,269 is: 21,403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,101 : 70,651.66 = 14,269 : x
  2. Step 2: Convert to fraction form
    47,101/70,651.66 = 14,269/x
  3. Step 3: Cross multiply
    47,101x = 70,651.66 × 14,269
  4. Step 4: Simplify right side
    47,101x = 1,008,128,536.54
  5. Step 5: Solve for x
    x = 1,008,128,536.54/47,101
  6. Step 6: Final answer
    x = 21,403.55

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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.