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Finding the Fourth Proportional to 46,477.63, 69,765.59 and 28,959.76

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Solution

The fourth proportional to 46,477.63, 69,765.59 and 28,959.76 is: 43,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,477.63 : 69,765.59 = 28,959.76 : x
  2. Step 2: Convert to fraction form
    46,477.63/69,765.59 = 28,959.76/x
  3. Step 3: Cross multiply
    46,477.63x = 69,765.59 × 28,959.76
  4. Step 4: Simplify right side
    46,477.63x = 2,020,394,742.66
  5. Step 5: Solve for x
    x = 2,020,394,742.66/46,477.63
  6. Step 6: Final answer
    x = 43,470.26

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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.