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Finding the Fourth Proportional to 84,032.98, 115,964.02 and 45,792.87

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Solution

The fourth proportional to 84,032.98, 115,964.02 and 45,792.87 is: 63,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,032.98 : 115,964.02 = 45,792.87 : x
  2. Step 2: Convert to fraction form
    84,032.98/115,964.02 = 45,792.87/x
  3. Step 3: Cross multiply
    84,032.98x = 115,964.02 × 45,792.87
  4. Step 4: Simplify right side
    84,032.98x = 5,310,325,292.54
  5. Step 5: Solve for x
    x = 5,310,325,292.54/84,032.98
  6. Step 6: Final answer
    x = 63,193.35

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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.