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Finding the Fourth Proportional to 46,277.20, 69,415.80 and 30,530.80

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Solution

The fourth proportional to 46,277.20, 69,415.80 and 30,530.80 is: 45,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,277.20 : 69,415.80 = 30,530.80 : x
  2. Step 2: Convert to fraction form
    46,277.20/69,415.80 = 30,530.80/x
  3. Step 3: Cross multiply
    46,277.20x = 69,415.80 × 30,530.80
  4. Step 4: Simplify right side
    46,277.20x = 2,119,319,906.64
  5. Step 5: Solve for x
    x = 2,119,319,906.64/46,277.20
  6. Step 6: Final answer
    x = 45,796.20

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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.