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Finding the Fourth Proportional to 55,174.16, 82,776 and 15,734.72

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Solution

The fourth proportional to 55,174.16, 82,776 and 15,734.72 is: 23,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,174.16 : 82,776 = 15,734.72 : x
  2. Step 2: Convert to fraction form
    55,174.16/82,776 = 15,734.72/x
  3. Step 3: Cross multiply
    55,174.16x = 82,776 × 15,734.72
  4. Step 4: Simplify right side
    55,174.16x = 1,302,457,182.72
  5. Step 5: Solve for x
    x = 1,302,457,182.72/55,174.16
  6. Step 6: Final answer
    x = 23,606.29

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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.