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Finding the Fourth Proportional to 38,065.50, 52,530.39 and 21,301.74

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Solution

The fourth proportional to 38,065.50, 52,530.39 and 21,301.74 is: 29,396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.50 : 52,530.39 = 21,301.74 : x
  2. Step 2: Convert to fraction form
    38,065.50/52,530.39 = 21,301.74/x
  3. Step 3: Cross multiply
    38,065.50x = 52,530.39 × 21,301.74
  4. Step 4: Simplify right side
    38,065.50x = 1,118,988,709.88
  5. Step 5: Solve for x
    x = 1,118,988,709.88/38,065.50
  6. Step 6: Final answer
    x = 29,396.40

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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.