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Finding the Fourth Proportional to 30,946.40, 46,434.93 and 12,239.85

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Solution

The fourth proportional to 30,946.40, 46,434.93 and 12,239.85 is: 18,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,946.40 : 46,434.93 = 12,239.85 : x
  2. Step 2: Convert to fraction form
    30,946.40/46,434.93 = 12,239.85/x
  3. Step 3: Cross multiply
    30,946.40x = 46,434.93 × 12,239.85
  4. Step 4: Simplify right side
    30,946.40x = 568,356,577.96
  5. Step 5: Solve for x
    x = 568,356,577.96/30,946.40
  6. Step 6: Final answer
    x = 18,365.84

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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.