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Finding the Fourth Proportional to 30,468.80, 45,703.12 and 9,692.24

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Solution

The fourth proportional to 30,468.80, 45,703.12 and 9,692.24 is: 14,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.80 : 45,703.12 = 9,692.24 : x
  2. Step 2: Convert to fraction form
    30,468.80/45,703.12 = 9,692.24/x
  3. Step 3: Cross multiply
    30,468.80x = 45,703.12 × 9,692.24
  4. Step 4: Simplify right side
    30,468.80x = 442,965,607.79
  5. Step 5: Solve for x
    x = 442,965,607.79/30,468.80
  6. Step 6: Final answer
    x = 14,538.33

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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.