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Finding the Fourth Proportional to 84,132, 116,102.40 and 46,405.92

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Solution

The fourth proportional to 84,132, 116,102.40 and 46,405.92 is: 64,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,132 : 116,102.40 = 46,405.92 : x
  2. Step 2: Convert to fraction form
    84,132/116,102.40 = 46,405.92/x
  3. Step 3: Cross multiply
    84,132x = 116,102.40 × 46,405.92
  4. Step 4: Simplify right side
    84,132x = 5,387,838,686.21
  5. Step 5: Solve for x
    x = 5,387,838,686.21/84,132
  6. Step 6: Final answer
    x = 64,040.30

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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.