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Finding the Fourth Proportional to 30,662.38, 42,317.59 and 17,051.78

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Solution

The fourth proportional to 30,662.38, 42,317.59 and 17,051.78 is: 23,533.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.38 : 42,317.59 = 17,051.78 : x
  2. Step 2: Convert to fraction form
    30,662.38/42,317.59 = 17,051.78/x
  3. Step 3: Cross multiply
    30,662.38x = 42,317.59 × 17,051.78
  4. Step 4: Simplify right side
    30,662.38x = 721,590,023.22
  5. Step 5: Solve for x
    x = 721,590,023.22/30,662.38
  6. Step 6: Final answer
    x = 23,533.40

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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.