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Finding the Fourth Proportional to 30,527.19, 45,797.34 and 9,466.78

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Solution

The fourth proportional to 30,527.19, 45,797.34 and 9,466.78 is: 14,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.19 : 45,797.34 = 9,466.78 : x
  2. Step 2: Convert to fraction form
    30,527.19/45,797.34 = 9,466.78/x
  3. Step 3: Cross multiply
    30,527.19x = 45,797.34 × 9,466.78
  4. Step 4: Simplify right side
    30,527.19x = 433,553,342.37
  5. Step 5: Solve for x
    x = 433,553,342.37/30,527.19
  6. Step 6: Final answer
    x = 14,202.20

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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.