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Finding the Fourth Proportional to 38,457.61, 53,071.50 and 21,229.99

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Solution

The fourth proportional to 38,457.61, 53,071.50 and 21,229.99 is: 29,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.61 : 53,071.50 = 21,229.99 : x
  2. Step 2: Convert to fraction form
    38,457.61/53,071.50 = 21,229.99/x
  3. Step 3: Cross multiply
    38,457.61x = 53,071.50 × 21,229.99
  4. Step 4: Simplify right side
    38,457.61x = 1,126,707,361.22
  5. Step 5: Solve for x
    x = 1,126,707,361.22/38,457.61
  6. Step 6: Final answer
    x = 29,297.39

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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.