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Finding the Fourth Proportional to 30,817.80, 46,153.80 and 20,903.40

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Solution

The fourth proportional to 30,817.80, 46,153.80 and 20,903.40 is: 31,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817.80 : 46,153.80 = 20,903.40 : x
  2. Step 2: Convert to fraction form
    30,817.80/46,153.80 = 20,903.40/x
  3. Step 3: Cross multiply
    30,817.80x = 46,153.80 × 20,903.40
  4. Step 4: Simplify right side
    30,817.80x = 964,771,342.92
  5. Step 5: Solve for x
    x = 964,771,342.92/30,817.80
  6. Step 6: Final answer
    x = 31,305.65

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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.