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Finding the Fourth Proportional to 38,424.58, 53,024.86 and 21,429.34

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Solution

The fourth proportional to 38,424.58, 53,024.86 and 21,429.34 is: 29,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,424.58 : 53,024.86 = 21,429.34 : x
  2. Step 2: Convert to fraction form
    38,424.58/53,024.86 = 21,429.34/x
  3. Step 3: Cross multiply
    38,424.58x = 53,024.86 × 21,429.34
  4. Step 4: Simplify right side
    38,424.58x = 1,136,287,381.12
  5. Step 5: Solve for x
    x = 1,136,287,381.12/38,424.58
  6. Step 6: Final answer
    x = 29,571.89

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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.