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Finding the Fourth Proportional to 27,019.48, 40,532.74 and 10,157.98

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Solution

The fourth proportional to 27,019.48, 40,532.74 and 10,157.98 is: 15,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,019.48 : 40,532.74 = 10,157.98 : x
  2. Step 2: Convert to fraction form
    27,019.48/40,532.74 = 10,157.98/x
  3. Step 3: Cross multiply
    27,019.48x = 40,532.74 × 10,157.98
  4. Step 4: Simplify right side
    27,019.48x = 411,730,762.27
  5. Step 5: Solve for x
    x = 411,730,762.27/27,019.48
  6. Step 6: Final answer
    x = 15,238.29

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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.