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Finding the Fourth Proportional to 30,693.84, 46,034 and 10,973.76

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Solution

The fourth proportional to 30,693.84, 46,034 and 10,973.76 is: 16,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,693.84 : 46,034 = 10,973.76 : x
  2. Step 2: Convert to fraction form
    30,693.84/46,034 = 10,973.76/x
  3. Step 3: Cross multiply
    30,693.84x = 46,034 × 10,973.76
  4. Step 4: Simplify right side
    30,693.84x = 505,166,067.84
  5. Step 5: Solve for x
    x = 505,166,067.84/30,693.84
  6. Step 6: Final answer
    x = 16,458.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.