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Finding the Fourth Proportional to 35,942.40, 53,900.80 and 16,230.40

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Solution

The fourth proportional to 35,942.40, 53,900.80 and 16,230.40 is: 24,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,942.40 : 53,900.80 = 16,230.40 : x
  2. Step 2: Convert to fraction form
    35,942.40/53,900.80 = 16,230.40/x
  3. Step 3: Cross multiply
    35,942.40x = 53,900.80 × 16,230.40
  4. Step 4: Simplify right side
    35,942.40x = 874,831,544.32
  5. Step 5: Solve for x
    x = 874,831,544.32/35,942.40
  6. Step 6: Final answer
    x = 24,339.82

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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.