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Finding the Fourth Proportional to 29,762.96, 41,071.20 and 17,823.56

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Solution

The fourth proportional to 29,762.96, 41,071.20 and 17,823.56 is: 24,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.96 : 41,071.20 = 17,823.56 : x
  2. Step 2: Convert to fraction form
    29,762.96/41,071.20 = 17,823.56/x
  3. Step 3: Cross multiply
    29,762.96x = 41,071.20 × 17,823.56
  4. Step 4: Simplify right side
    29,762.96x = 732,034,997.47
  5. Step 5: Solve for x
    x = 732,034,997.47/29,762.96
  6. Step 6: Final answer
    x = 24,595.50

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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.