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Finding the Fourth Proportional to 38,525.81, 53,165.82 and 21,530.34

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Solution

The fourth proportional to 38,525.81, 53,165.82 and 21,530.34 is: 29,711.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.81 : 53,165.82 = 21,530.34 : x
  2. Step 2: Convert to fraction form
    38,525.81/53,165.82 = 21,530.34/x
  3. Step 3: Cross multiply
    38,525.81x = 53,165.82 × 21,530.34
  4. Step 4: Simplify right side
    38,525.81x = 1,144,677,983.05
  5. Step 5: Solve for x
    x = 1,144,677,983.05/38,525.81
  6. Step 6: Final answer
    x = 29,711.98

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