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Finding the Fourth Proportional to 38,525.87, 53,165.54 and 21,530.11

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Solution

The fourth proportional to 38,525.87, 53,165.54 and 21,530.11 is: 29,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.87 : 53,165.54 = 21,530.11 : x
  2. Step 2: Convert to fraction form
    38,525.87/53,165.54 = 21,530.11/x
  3. Step 3: Cross multiply
    38,525.87x = 53,165.54 × 21,530.11
  4. Step 4: Simplify right side
    38,525.87x = 1,144,659,924.41
  5. Step 5: Solve for x
    x = 1,144,659,924.41/38,525.87
  6. Step 6: Final answer
    x = 29,711.46

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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.