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Finding the Fourth Proportional to 55,523.46, 76,647.39 and 35,407.38

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Solution

The fourth proportional to 55,523.46, 76,647.39 and 35,407.38 is: 48,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523.46 : 76,647.39 = 35,407.38 : x
  2. Step 2: Convert to fraction form
    55,523.46/76,647.39 = 35,407.38/x
  3. Step 3: Cross multiply
    55,523.46x = 76,647.39 × 35,407.38
  4. Step 4: Simplify right side
    55,523.46x = 2,713,883,263.74
  5. Step 5: Solve for x
    x = 2,713,883,263.74/55,523.46
  6. Step 6: Final answer
    x = 48,878.14

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Why These Related Problems?

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