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Finding the Fourth Proportional to 34,361.22, 51,541.84 and 9,400.26

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Solution

The fourth proportional to 34,361.22, 51,541.84 and 9,400.26 is: 14,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361.22 : 51,541.84 = 9,400.26 : x
  2. Step 2: Convert to fraction form
    34,361.22/51,541.84 = 9,400.26/x
  3. Step 3: Cross multiply
    34,361.22x = 51,541.84 × 9,400.26
  4. Step 4: Simplify right side
    34,361.22x = 484,506,901.91
  5. Step 5: Solve for x
    x = 484,506,901.91/34,361.22
  6. Step 6: Final answer
    x = 14,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.