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Finding the Fourth Proportional to 46,361.76, 69,203.20 and 39,829.92

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Solution

The fourth proportional to 46,361.76, 69,203.20 and 39,829.92 is: 59,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,361.76 : 69,203.20 = 39,829.92 : x
  2. Step 2: Convert to fraction form
    46,361.76/69,203.20 = 39,829.92/x
  3. Step 3: Cross multiply
    46,361.76x = 69,203.20 × 39,829.92
  4. Step 4: Simplify right side
    46,361.76x = 2,756,357,919.74
  5. Step 5: Solve for x
    x = 2,756,357,919.74/46,361.76
  6. Step 6: Final answer
    x = 59,453.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.