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Finding the Fourth Proportional to 82,401.79, 113,716.71 and 46,597.16

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Solution

The fourth proportional to 82,401.79, 113,716.71 and 46,597.16 is: 64,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,401.79 : 113,716.71 = 46,597.16 : x
  2. Step 2: Convert to fraction form
    82,401.79/113,716.71 = 46,597.16/x
  3. Step 3: Cross multiply
    82,401.79x = 113,716.71 × 46,597.16
  4. Step 4: Simplify right side
    82,401.79x = 5,298,875,161.96
  5. Step 5: Solve for x
    x = 5,298,875,161.96/82,401.79
  6. Step 6: Final answer
    x = 64,305.34

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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.