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Finding the Fourth Proportional to 30,305.96, 45,466.10 and 9,529.46

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Solution

The fourth proportional to 30,305.96, 45,466.10 and 9,529.46 is: 14,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,305.96 : 45,466.10 = 9,529.46 : x
  2. Step 2: Convert to fraction form
    30,305.96/45,466.10 = 9,529.46/x
  3. Step 3: Cross multiply
    30,305.96x = 45,466.10 × 9,529.46
  4. Step 4: Simplify right side
    30,305.96x = 433,267,381.31
  5. Step 5: Solve for x
    x = 433,267,381.31/30,305.96
  6. Step 6: Final answer
    x = 14,296.44

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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.