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Finding the Fourth Proportional to 30,695.99, 42,357.52 and 18,771.38

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Solution

The fourth proportional to 30,695.99, 42,357.52 and 18,771.38 is: 25,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.99 : 42,357.52 = 18,771.38 : x
  2. Step 2: Convert to fraction form
    30,695.99/42,357.52 = 18,771.38/x
  3. Step 3: Cross multiply
    30,695.99x = 42,357.52 × 18,771.38
  4. Step 4: Simplify right side
    30,695.99x = 795,108,798.13
  5. Step 5: Solve for x
    x = 795,108,798.13/30,695.99
  6. Step 6: Final answer
    x = 25,902.69

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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.