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Finding the Fourth Proportional to 50,498.70, 70,829.40 and 50,498.70

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Solution

The fourth proportional to 50,498.70, 70,829.40 and 50,498.70 is: 70,829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.70 : 70,829.40 = 50,498.70 : x
  2. Step 2: Convert to fraction form
    50,498.70/70,829.40 = 50,498.70/x
  3. Step 3: Cross multiply
    50,498.70x = 70,829.40 × 50,498.70
  4. Step 4: Simplify right side
    50,498.70x = 3,576,792,621.78
  5. Step 5: Solve for x
    x = 3,576,792,621.78/50,498.70
  6. Step 6: Final answer
    x = 70,829.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.