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Finding the Fourth Proportional to 38,457.30, 53,071.37 and 21,462.63

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Solution

The fourth proportional to 38,457.30, 53,071.37 and 21,462.63 is: 29,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.30 : 53,071.37 = 21,462.63 : x
  2. Step 2: Convert to fraction form
    38,457.30/53,071.37 = 21,462.63/x
  3. Step 3: Cross multiply
    38,457.30x = 53,071.37 × 21,462.63
  4. Step 4: Simplify right side
    38,457.30x = 1,139,051,177.90
  5. Step 5: Solve for x
    x = 1,139,051,177.90/38,457.30
  6. Step 6: Final answer
    x = 29,618.59

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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.