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Finding the Fourth Proportional to 84,652.45, 116,821.70 and 46,415.49

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Solution

The fourth proportional to 84,652.45, 116,821.70 and 46,415.49 is: 64,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,652.45 : 116,821.70 = 46,415.49 : x
  2. Step 2: Convert to fraction form
    84,652.45/116,821.70 = 46,415.49/x
  3. Step 3: Cross multiply
    84,652.45x = 116,821.70 × 46,415.49
  4. Step 4: Simplify right side
    84,652.45x = 5,422,336,448.13
  5. Step 5: Solve for x
    x = 5,422,336,448.13/84,652.45
  6. Step 6: Final answer
    x = 64,054.10

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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.