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Finding the Fourth Proportional to 46,952.20, 70,298.70 and 36,584.20

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Solution

The fourth proportional to 46,952.20, 70,298.70 and 36,584.20 is: 54,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,952.20 : 70,298.70 = 36,584.20 : x
  2. Step 2: Convert to fraction form
    46,952.20/70,298.70 = 36,584.20/x
  3. Step 3: Cross multiply
    46,952.20x = 70,298.70 × 36,584.20
  4. Step 4: Simplify right side
    46,952.20x = 2,571,821,700.54
  5. Step 5: Solve for x
    x = 2,571,821,700.54/46,952.20
  6. Step 6: Final answer
    x = 54,775.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.