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Finding the Fourth Proportional to 30,692.40, 46,038.60 and 30,400.80

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Solution

The fourth proportional to 30,692.40, 46,038.60 and 30,400.80 is: 45,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.40 : 46,038.60 = 30,400.80 : x
  2. Step 2: Convert to fraction form
    30,692.40/46,038.60 = 30,400.80/x
  3. Step 3: Cross multiply
    30,692.40x = 46,038.60 × 30,400.80
  4. Step 4: Simplify right side
    30,692.40x = 1,399,610,270.88
  5. Step 5: Solve for x
    x = 1,399,610,270.88/30,692.40
  6. Step 6: Final answer
    x = 45,601.20

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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.