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Finding the Fourth Proportional to 37,292.68, 51,462.32 and 20,297

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Solution

The fourth proportional to 37,292.68, 51,462.32 and 20,297 is: 28,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,292.68 : 51,462.32 = 20,297 : x
  2. Step 2: Convert to fraction form
    37,292.68/51,462.32 = 20,297/x
  3. Step 3: Cross multiply
    37,292.68x = 51,462.32 × 20,297
  4. Step 4: Simplify right side
    37,292.68x = 1,044,530,709.04
  5. Step 5: Solve for x
    x = 1,044,530,709.04/37,292.68
  6. Step 6: Final answer
    x = 28,009.00

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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.