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Finding the Fourth Proportional to 35,014.16, 48,314.76 and 20,110.16

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Solution

The fourth proportional to 35,014.16, 48,314.76 and 20,110.16 is: 27,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014.16 : 48,314.76 = 20,110.16 : x
  2. Step 2: Convert to fraction form
    35,014.16/48,314.76 = 20,110.16/x
  3. Step 3: Cross multiply
    35,014.16x = 48,314.76 × 20,110.16
  4. Step 4: Simplify right side
    35,014.16x = 971,617,553.96
  5. Step 5: Solve for x
    x = 971,617,553.96/35,014.16
  6. Step 6: Final answer
    x = 27,749.27

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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.