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Finding the Fourth Proportional to 84,205.65, 116,203.73 and 46,479.81

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Solution

The fourth proportional to 84,205.65, 116,203.73 and 46,479.81 is: 64,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,205.65 : 116,203.73 = 46,479.81 : x
  2. Step 2: Convert to fraction form
    84,205.65/116,203.73 = 46,479.81/x
  3. Step 3: Cross multiply
    84,205.65x = 116,203.73 × 46,479.81
  4. Step 4: Simplify right side
    84,205.65x = 5,401,127,059.29
  5. Step 5: Solve for x
    x = 5,401,127,059.29/84,205.65
  6. Step 6: Final answer
    x = 64,142.10

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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.