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Finding the Fourth Proportional to 83,824.60, 115,678.74 and 46,099

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Solution

The fourth proportional to 83,824.60, 115,678.74 and 46,099 is: 63,617.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.60 : 115,678.74 = 46,099 : x
  2. Step 2: Convert to fraction form
    83,824.60/115,678.74 = 46,099/x
  3. Step 3: Cross multiply
    83,824.60x = 115,678.74 × 46,099
  4. Step 4: Simplify right side
    83,824.60x = 5,332,674,235.26
  5. Step 5: Solve for x
    x = 5,332,674,235.26/83,824.60
  6. Step 6: Final answer
    x = 63,617.06

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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.