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Finding the Fourth Proportional to 38,424.49, 53,030.33 and 21,431.41

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Solution

The fourth proportional to 38,424.49, 53,030.33 and 21,431.41 is: 29,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.49 : 53,030.33 = 21,431.41 : x
  2. Step 2: Convert to fraction form
    38,424.49/53,030.33 = 21,431.41/x
  3. Step 3: Cross multiply
    38,424.49x = 53,030.33 × 21,431.41
  4. Step 4: Simplify right side
    38,424.49x = 1,136,514,744.67
  5. Step 5: Solve for x
    x = 1,136,514,744.67/38,424.49
  6. Step 6: Final answer
    x = 29,577.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.