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Finding the Fourth Proportional to 37,160.16, 51,305.04 and 23,028

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Solution

The fourth proportional to 37,160.16, 51,305.04 and 23,028 is: 31,793.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,160.16 : 51,305.04 = 23,028 : x
  2. Step 2: Convert to fraction form
    37,160.16/51,305.04 = 23,028/x
  3. Step 3: Cross multiply
    37,160.16x = 51,305.04 × 23,028
  4. Step 4: Simplify right side
    37,160.16x = 1,181,452,461.12
  5. Step 5: Solve for x
    x = 1,181,452,461.12/37,160.16
  6. Step 6: Final answer
    x = 31,793.52

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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.