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Finding the Fourth Proportional to 38,438.35, 53,043.63 and 22,522.46

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Solution

The fourth proportional to 38,438.35, 53,043.63 and 22,522.46 is: 31,080.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,438.35 : 53,043.63 = 22,522.46 : x
  2. Step 2: Convert to fraction form
    38,438.35/53,043.63 = 22,522.46/x
  3. Step 3: Cross multiply
    38,438.35x = 53,043.63 × 22,522.46
  4. Step 4: Simplify right side
    38,438.35x = 1,194,672,875.29
  5. Step 5: Solve for x
    x = 1,194,672,875.29/38,438.35
  6. Step 6: Final answer
    x = 31,080.24

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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.