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Finding the Fourth Proportional to 51,464.70, 72,206.10 and 51,464.70

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Solution

The fourth proportional to 51,464.70, 72,206.10 and 51,464.70 is: 72,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.70 : 72,206.10 = 51,464.70 : x
  2. Step 2: Convert to fraction form
    51,464.70/72,206.10 = 51,464.70/x
  3. Step 3: Cross multiply
    51,464.70x = 72,206.10 × 51,464.70
  4. Step 4: Simplify right side
    51,464.70x = 3,716,065,274.67
  5. Step 5: Solve for x
    x = 3,716,065,274.67/51,464.70
  6. Step 6: Final answer
    x = 72,206.10

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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.