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Finding the Fourth Proportional to 84,405.84, 116,472.24 and 46,679.28

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Solution

The fourth proportional to 84,405.84, 116,472.24 and 46,679.28 is: 64,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,405.84 : 116,472.24 = 46,679.28 : x
  2. Step 2: Convert to fraction form
    84,405.84/116,472.24 = 46,679.28/x
  3. Step 3: Cross multiply
    84,405.84x = 116,472.24 × 46,679.28
  4. Step 4: Simplify right side
    84,405.84x = 5,436,840,303.19
  5. Step 5: Solve for x
    x = 5,436,840,303.19/84,405.84
  6. Step 6: Final answer
    x = 64,413.08

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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.