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Finding the Fourth Proportional to 37,539.60, 56,302.52 and 13,842

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Solution

The fourth proportional to 37,539.60, 56,302.52 and 13,842 is: 20,760.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,539.60 : 56,302.52 = 13,842 : x
  2. Step 2: Convert to fraction form
    37,539.60/56,302.52 = 13,842/x
  3. Step 3: Cross multiply
    37,539.60x = 56,302.52 × 13,842
  4. Step 4: Simplify right side
    37,539.60x = 779,339,481.84
  5. Step 5: Solve for x
    x = 779,339,481.84/37,539.60
  6. Step 6: Final answer
    x = 20,760.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.