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Finding the Fourth Proportional to 38,427.84, 53,030.31 and 21,432.12

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Solution

The fourth proportional to 38,427.84, 53,030.31 and 21,432.12 is: 29,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427.84 : 53,030.31 = 21,432.12 : x
  2. Step 2: Convert to fraction form
    38,427.84/53,030.31 = 21,432.12/x
  3. Step 3: Cross multiply
    38,427.84x = 53,030.31 × 21,432.12
  4. Step 4: Simplify right side
    38,427.84x = 1,136,551,967.56
  5. Step 5: Solve for x
    x = 1,136,551,967.56/38,427.84
  6. Step 6: Final answer
    x = 29,576.26

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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.