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Finding the Fourth Proportional to 31,457.38, 43,388.40 and 21,368.20

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Solution

The fourth proportional to 31,457.38, 43,388.40 and 21,368.20 is: 29,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.38 : 43,388.40 = 21,368.20 : x
  2. Step 2: Convert to fraction form
    31,457.38/43,388.40 = 21,368.20/x
  3. Step 3: Cross multiply
    31,457.38x = 43,388.40 × 21,368.20
  4. Step 4: Simplify right side
    31,457.38x = 927,132,008.88
  5. Step 5: Solve for x
    x = 927,132,008.88/31,457.38
  6. Step 6: Final answer
    x = 29,472.64

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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.