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Finding the Fourth Proportional to 38,441.70, 53,048.52 and 21,446.46

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Solution

The fourth proportional to 38,441.70, 53,048.52 and 21,446.46 is: 29,595.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.70 : 53,048.52 = 21,446.46 : x
  2. Step 2: Convert to fraction form
    38,441.70/53,048.52 = 21,446.46/x
  3. Step 3: Cross multiply
    38,441.70x = 53,048.52 × 21,446.46
  4. Step 4: Simplify right side
    38,441.70x = 1,137,702,962.24
  5. Step 5: Solve for x
    x = 1,137,702,962.24/38,441.70
  6. Step 6: Final answer
    x = 29,595.54

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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.