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Finding the Fourth Proportional to 52,103.70, 72,857.70 and 52,103.70

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Solution

The fourth proportional to 52,103.70, 72,857.70 and 52,103.70 is: 72,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,103.70 : 72,857.70 = 52,103.70 : x
  2. Step 2: Convert to fraction form
    52,103.70/72,857.70 = 52,103.70/x
  3. Step 3: Cross multiply
    52,103.70x = 72,857.70 × 52,103.70
  4. Step 4: Simplify right side
    52,103.70x = 3,796,155,743.49
  5. Step 5: Solve for x
    x = 3,796,155,743.49/52,103.70
  6. Step 6: Final answer
    x = 72,857.70

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1.5x scale

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.