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Finding the Fourth Proportional to 30,287.44, 45,433.72 and 9,510.96

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Solution

The fourth proportional to 30,287.44, 45,433.72 and 9,510.96 is: 14,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.44 : 45,433.72 = 9,510.96 : x
  2. Step 2: Convert to fraction form
    30,287.44/45,433.72 = 9,510.96/x
  3. Step 3: Cross multiply
    30,287.44x = 45,433.72 × 9,510.96
  4. Step 4: Simplify right side
    30,287.44x = 432,118,293.57
  5. Step 5: Solve for x
    x = 432,118,293.57/30,287.44
  6. Step 6: Final answer
    x = 14,267.24

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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.