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Finding the Fourth Proportional to 34,612.40, 51,942.90 and 14,905.10

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Solution

The fourth proportional to 34,612.40, 51,942.90 and 14,905.10 is: 22,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612.40 : 51,942.90 = 14,905.10 : x
  2. Step 2: Convert to fraction form
    34,612.40/51,942.90 = 14,905.10/x
  3. Step 3: Cross multiply
    34,612.40x = 51,942.90 × 14,905.10
  4. Step 4: Simplify right side
    34,612.40x = 774,214,118.79
  5. Step 5: Solve for x
    x = 774,214,118.79/34,612.40
  6. Step 6: Final answer
    x = 22,368.11

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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.