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Finding the Fourth Proportional to 43,405, 59,898.90 and 23,533

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Solution

The fourth proportional to 43,405, 59,898.90 and 23,533 is: 32,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,405 : 59,898.90 = 23,533 : x
  2. Step 2: Convert to fraction form
    43,405/59,898.90 = 23,533/x
  3. Step 3: Cross multiply
    43,405x = 59,898.90 × 23,533
  4. Step 4: Simplify right side
    43,405x = 1,409,600,813.70
  5. Step 5: Solve for x
    x = 1,409,600,813.70/43,405
  6. Step 6: Final answer
    x = 32,475.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.