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Finding the Fourth Proportional to 34,153.50, 51,236.43 and 15,442.35

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Solution

The fourth proportional to 34,153.50, 51,236.43 and 15,442.35 is: 23,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,153.50 : 51,236.43 = 15,442.35 : x
  2. Step 2: Convert to fraction form
    34,153.50/51,236.43 = 15,442.35/x
  3. Step 3: Cross multiply
    34,153.50x = 51,236.43 × 15,442.35
  4. Step 4: Simplify right side
    34,153.50x = 791,210,884.81
  5. Step 5: Solve for x
    x = 791,210,884.81/34,153.50
  6. Step 6: Final answer
    x = 23,166.32

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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.