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Finding the Fourth Proportional to 37,292.96, 51,462.69 and 20,297.23

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Solution

The fourth proportional to 37,292.96, 51,462.69 and 20,297.23 is: 28,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292.96 : 51,462.69 = 20,297.23 : x
  2. Step 2: Convert to fraction form
    37,292.96/51,462.69 = 20,297.23/x
  3. Step 3: Cross multiply
    37,292.96x = 51,462.69 × 20,297.23
  4. Step 4: Simplify right side
    37,292.96x = 1,044,550,254.23
  5. Step 5: Solve for x
    x = 1,044,550,254.23/37,292.96
  6. Step 6: Final answer
    x = 28,009.32

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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.