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Finding the Fourth Proportional to 30,692.88, 46,041.27 and 9,633.76

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Solution

The fourth proportional to 30,692.88, 46,041.27 and 9,633.76 is: 14,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,692.88 : 46,041.27 = 9,633.76 : x
  2. Step 2: Convert to fraction form
    30,692.88/46,041.27 = 9,633.76/x
  3. Step 3: Cross multiply
    30,692.88x = 46,041.27 × 9,633.76
  4. Step 4: Simplify right side
    30,692.88x = 443,550,545.28
  5. Step 5: Solve for x
    x = 443,550,545.28/30,692.88
  6. Step 6: Final answer
    x = 14,451.25

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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.