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Finding the Fourth Proportional to 84,121.88, 116,090.62 and 46,398.56

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Solution

The fourth proportional to 84,121.88, 116,090.62 and 46,398.56 is: 64,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,121.88 : 116,090.62 = 46,398.56 : x
  2. Step 2: Convert to fraction form
    84,121.88/116,090.62 = 46,398.56/x
  3. Step 3: Cross multiply
    84,121.88x = 116,090.62 × 46,398.56
  4. Step 4: Simplify right side
    84,121.88x = 5,386,436,901.06
  5. Step 5: Solve for x
    x = 5,386,436,901.06/84,121.88
  6. Step 6: Final answer
    x = 64,031.35

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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.