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Finding the Fourth Proportional to 38,741.32, 53,459.76 and 21,742.12

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Solution

The fourth proportional to 38,741.32, 53,459.76 and 21,742.12 is: 30,002.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741.32 : 53,459.76 = 21,742.12 : x
  2. Step 2: Convert to fraction form
    38,741.32/53,459.76 = 21,742.12/x
  3. Step 3: Cross multiply
    38,741.32x = 53,459.76 × 21,742.12
  4. Step 4: Simplify right side
    38,741.32x = 1,162,328,517.09
  5. Step 5: Solve for x
    x = 1,162,328,517.09/38,741.32
  6. Step 6: Final answer
    x = 30,002.30

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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.