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Finding the Fourth Proportional to 35,953.40, 53,930.10 and 23,511.80

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Solution

The fourth proportional to 35,953.40, 53,930.10 and 23,511.80 is: 35,267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,953.40 : 53,930.10 = 23,511.80 : x
  2. Step 2: Convert to fraction form
    35,953.40/53,930.10 = 23,511.80/x
  3. Step 3: Cross multiply
    35,953.40x = 53,930.10 × 23,511.80
  4. Step 4: Simplify right side
    35,953.40x = 1,267,993,725.18
  5. Step 5: Solve for x
    x = 1,267,993,725.18/35,953.40
  6. Step 6: Final answer
    x = 35,267.70

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