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Finding the Fourth Proportional to 55,407.42, 76,414 and 36,018.13

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Solution

The fourth proportional to 55,407.42, 76,414 and 36,018.13 is: 49,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,407.42 : 76,414 = 36,018.13 : x
  2. Step 2: Convert to fraction form
    55,407.42/76,414 = 36,018.13/x
  3. Step 3: Cross multiply
    55,407.42x = 76,414 × 36,018.13
  4. Step 4: Simplify right side
    55,407.42x = 2,752,289,385.82
  5. Step 5: Solve for x
    x = 2,752,289,385.82/55,407.42
  6. Step 6: Final answer
    x = 49,673.66

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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.