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Finding the Fourth Proportional to 84,716.64, 116,907.86 and 48,417.68

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Solution

The fourth proportional to 84,716.64, 116,907.86 and 48,417.68 is: 66,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,716.64 : 116,907.86 = 48,417.68 : x
  2. Step 2: Convert to fraction form
    84,716.64/116,907.86 = 48,417.68/x
  3. Step 3: Cross multiply
    84,716.64x = 116,907.86 × 48,417.68
  4. Step 4: Simplify right side
    84,716.64x = 5,660,407,768.28
  5. Step 5: Solve for x
    x = 5,660,407,768.28/84,716.64
  6. Step 6: Final answer
    x = 66,815.77

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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.