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Finding the Fourth Proportional to 51,246.40, 71,570 and 51,246.40

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Solution

The fourth proportional to 51,246.40, 71,570 and 51,246.40 is: 71,570

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,246.40 : 71,570 = 51,246.40 : x
  2. Step 2: Convert to fraction form
    51,246.40/71,570 = 51,246.40/x
  3. Step 3: Cross multiply
    51,246.40x = 71,570 × 51,246.40
  4. Step 4: Simplify right side
    51,246.40x = 3,667,704,848
  5. Step 5: Solve for x
    x = 3,667,704,848/51,246.40
  6. Step 6: Final answer
    x = 71,570

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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.