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Finding the Fourth Proportional to 51,237, 70,707.06 and 27,685

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Solution

The fourth proportional to 51,237, 70,707.06 and 27,685 is: 38,205.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,237 : 70,707.06 = 27,685 : x
  2. Step 2: Convert to fraction form
    51,237/70,707.06 = 27,685/x
  3. Step 3: Cross multiply
    51,237x = 70,707.06 × 27,685
  4. Step 4: Simplify right side
    51,237x = 1,957,524,956.10
  5. Step 5: Solve for x
    x = 1,957,524,956.10/51,237
  6. Step 6: Final answer
    x = 38,205.30

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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.