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Finding the Fourth Proportional to 30,650.24, 45,975.40 and 9,590.40

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Solution

The fourth proportional to 30,650.24, 45,975.40 and 9,590.40 is: 14,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,650.24 : 45,975.40 = 9,590.40 : x
  2. Step 2: Convert to fraction form
    30,650.24/45,975.40 = 9,590.40/x
  3. Step 3: Cross multiply
    30,650.24x = 45,975.40 × 9,590.40
  4. Step 4: Simplify right side
    30,650.24x = 440,922,476.16
  5. Step 5: Solve for x
    x = 440,922,476.16/30,650.24
  6. Step 6: Final answer
    x = 14,385.61

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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.