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Finding the Fourth Proportional to 37,052.63, 51,132.63 and 20,285.63

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Solution

The fourth proportional to 37,052.63, 51,132.63 and 20,285.63 is: 27,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,052.63 : 51,132.63 = 20,285.63 : x
  2. Step 2: Convert to fraction form
    37,052.63/51,132.63 = 20,285.63/x
  3. Step 3: Cross multiply
    37,052.63x = 51,132.63 × 20,285.63
  4. Step 4: Simplify right side
    37,052.63x = 1,037,257,613.11
  5. Step 5: Solve for x
    x = 1,037,257,613.11/37,052.63
  6. Step 6: Final answer
    x = 27,994.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.