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Finding the Fourth Proportional to 38,057, 52,518.66 and 21,293.24

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Solution

The fourth proportional to 38,057, 52,518.66 and 21,293.24 is: 29,384.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057 : 52,518.66 = 21,293.24 : x
  2. Step 2: Convert to fraction form
    38,057/52,518.66 = 21,293.24/x
  3. Step 3: Cross multiply
    38,057x = 52,518.66 × 21,293.24
  4. Step 4: Simplify right side
    38,057x = 1,118,292,431.86
  5. Step 5: Solve for x
    x = 1,118,292,431.86/38,057
  6. Step 6: Final answer
    x = 29,384.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.