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Finding the Fourth Proportional to 30,291.46, 45,435.27 and 14,507.74

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Solution

The fourth proportional to 30,291.46, 45,435.27 and 14,507.74 is: 21,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.46 : 45,435.27 = 14,507.74 : x
  2. Step 2: Convert to fraction form
    30,291.46/45,435.27 = 14,507.74/x
  3. Step 3: Cross multiply
    30,291.46x = 45,435.27 × 14,507.74
  4. Step 4: Simplify right side
    30,291.46x = 659,163,083.99
  5. Step 5: Solve for x
    x = 659,163,083.99/30,291.46
  6. Step 6: Final answer
    x = 21,760.69

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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.