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Finding the Fourth Proportional to 30,640.24, 45,961.44 and 9,582.16

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Solution

The fourth proportional to 30,640.24, 45,961.44 and 9,582.16 is: 14,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.24 : 45,961.44 = 9,582.16 : x
  2. Step 2: Convert to fraction form
    30,640.24/45,961.44 = 9,582.16/x
  3. Step 3: Cross multiply
    30,640.24x = 45,961.44 × 9,582.16
  4. Step 4: Simplify right side
    30,640.24x = 440,409,871.91
  5. Step 5: Solve for x
    x = 440,409,871.91/30,640.24
  6. Step 6: Final answer
    x = 14,373.58

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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.