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Finding the Fourth Proportional to 51,175.85, 70,626.74 and 28,209.76

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Solution

The fourth proportional to 51,175.85, 70,626.74 and 28,209.76 is: 38,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,175.85 : 70,626.74 = 28,209.76 : x
  2. Step 2: Convert to fraction form
    51,175.85/70,626.74 = 28,209.76/x
  3. Step 3: Cross multiply
    51,175.85x = 70,626.74 × 28,209.76
  4. Step 4: Simplify right side
    51,175.85x = 1,992,362,968.05
  5. Step 5: Solve for x
    x = 1,992,362,968.05/51,175.85
  6. Step 6: Final answer
    x = 38,931.70

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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.