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Finding the Fourth Proportional to 51,956.37, 71,699.78 and 28,083.04

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Solution

The fourth proportional to 51,956.37, 71,699.78 and 28,083.04 is: 38,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,956.37 : 71,699.78 = 28,083.04 : x
  2. Step 2: Convert to fraction form
    51,956.37/71,699.78 = 28,083.04/x
  3. Step 3: Cross multiply
    51,956.37x = 71,699.78 × 28,083.04
  4. Step 4: Simplify right side
    51,956.37x = 2,013,547,290.82
  5. Step 5: Solve for x
    x = 2,013,547,290.82/51,956.37
  6. Step 6: Final answer
    x = 38,754.58

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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.