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Finding the Fourth Proportional to 46,170.36, 63,822.69 and 41,184

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Solution

The fourth proportional to 46,170.36, 63,822.69 and 41,184 is: 56,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170.36 : 63,822.69 = 41,184 : x
  2. Step 2: Convert to fraction form
    46,170.36/63,822.69 = 41,184/x
  3. Step 3: Cross multiply
    46,170.36x = 63,822.69 × 41,184
  4. Step 4: Simplify right side
    46,170.36x = 2,628,473,664.96
  5. Step 5: Solve for x
    x = 2,628,473,664.96/46,170.36
  6. Step 6: Final answer
    x = 56,929.89

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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.