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Finding the Fourth Proportional to 84,597.75, 116,748.72 and 46,872

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Solution

The fourth proportional to 84,597.75, 116,748.72 and 46,872 is: 64,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,597.75 : 116,748.72 = 46,872 : x
  2. Step 2: Convert to fraction form
    84,597.75/116,748.72 = 46,872/x
  3. Step 3: Cross multiply
    84,597.75x = 116,748.72 × 46,872
  4. Step 4: Simplify right side
    84,597.75x = 5,472,246,003.84
  5. Step 5: Solve for x
    x = 5,472,246,003.84/84,597.75
  6. Step 6: Final answer
    x = 64,685.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.