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Finding the Fourth Proportional to 37,361.40, 51,509.14 and 30,964

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Solution

The fourth proportional to 37,361.40, 51,509.14 and 30,964 is: 42,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361.40 : 51,509.14 = 30,964 : x
  2. Step 2: Convert to fraction form
    37,361.40/51,509.14 = 30,964/x
  3. Step 3: Cross multiply
    37,361.40x = 51,509.14 × 30,964
  4. Step 4: Simplify right side
    37,361.40x = 1,594,929,010.96
  5. Step 5: Solve for x
    x = 1,594,929,010.96/37,361.40
  6. Step 6: Final answer
    x = 42,689.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.