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Finding the Fourth Proportional to 30,412.32, 45,622.83 and 9,354.12

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Solution

The fourth proportional to 30,412.32, 45,622.83 and 9,354.12 is: 14,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.32 : 45,622.83 = 9,354.12 : x
  2. Step 2: Convert to fraction form
    30,412.32/45,622.83 = 9,354.12/x
  3. Step 3: Cross multiply
    30,412.32x = 45,622.83 × 9,354.12
  4. Step 4: Simplify right side
    30,412.32x = 426,761,426.56
  5. Step 5: Solve for x
    x = 426,761,426.56/30,412.32
  6. Step 6: Final answer
    x = 14,032.52

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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.