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Finding the Fourth Proportional to 38,459.84, 53,074.62 and 21,232.22

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Solution

The fourth proportional to 38,459.84, 53,074.62 and 21,232.22 is: 29,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,459.84 : 53,074.62 = 21,232.22 : x
  2. Step 2: Convert to fraction form
    38,459.84/53,074.62 = 21,232.22/x
  3. Step 3: Cross multiply
    38,459.84x = 53,074.62 × 21,232.22
  4. Step 4: Simplify right side
    38,459.84x = 1,126,891,742.88
  5. Step 5: Solve for x
    x = 1,126,891,742.88/38,459.84
  6. Step 6: Final answer
    x = 29,300.48

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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.