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Finding the Fourth Proportional to 36,098.16, 49,829.16 and 32,314.51

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Solution

The fourth proportional to 36,098.16, 49,829.16 and 32,314.51 is: 44,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.16 : 49,829.16 = 32,314.51 : x
  2. Step 2: Convert to fraction form
    36,098.16/49,829.16 = 32,314.51/x
  3. Step 3: Cross multiply
    36,098.16x = 49,829.16 × 32,314.51
  4. Step 4: Simplify right side
    36,098.16x = 1,610,204,889.11
  5. Step 5: Solve for x
    x = 1,610,204,889.11/36,098.16
  6. Step 6: Final answer
    x = 44,606.29

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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.