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Finding the Fourth Proportional to 30,446.80, 45,677.40 and 9,670.30

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Solution

The fourth proportional to 30,446.80, 45,677.40 and 9,670.30 is: 14,507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.80 : 45,677.40 = 9,670.30 : x
  2. Step 2: Convert to fraction form
    30,446.80/45,677.40 = 9,670.30/x
  3. Step 3: Cross multiply
    30,446.80x = 45,677.40 × 9,670.30
  4. Step 4: Simplify right side
    30,446.80x = 441,714,161.22
  5. Step 5: Solve for x
    x = 441,714,161.22/30,446.80
  6. Step 6: Final answer
    x = 14,507.74

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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.