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Finding the Fourth Proportional to 46,509.98, 69,763.46 and 20,214.77

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Solution

The fourth proportional to 46,509.98, 69,763.46 and 20,214.77 is: 30,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.98 : 69,763.46 = 20,214.77 : x
  2. Step 2: Convert to fraction form
    46,509.98/69,763.46 = 20,214.77/x
  3. Step 3: Cross multiply
    46,509.98x = 69,763.46 × 20,214.77
  4. Step 4: Simplify right side
    46,509.98x = 1,410,251,848.41
  5. Step 5: Solve for x
    x = 1,410,251,848.41/46,509.98
  6. Step 6: Final answer
    x = 30,321.49

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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.