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Finding the Fourth Proportional to 84,641.22, 116,804.58 and 46,401

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Solution

The fourth proportional to 84,641.22, 116,804.58 and 46,401 is: 64,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,641.22 : 116,804.58 = 46,401 : x
  2. Step 2: Convert to fraction form
    84,641.22/116,804.58 = 46,401/x
  3. Step 3: Cross multiply
    84,641.22x = 116,804.58 × 46,401
  4. Step 4: Simplify right side
    84,641.22x = 5,419,849,316.58
  5. Step 5: Solve for x
    x = 5,419,849,316.58/84,641.22
  6. Step 6: Final answer
    x = 64,033.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.