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Finding the Fourth Proportional to 55,072, 76,005.84 and 32,716

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Solution

The fourth proportional to 55,072, 76,005.84 and 32,716 is: 45,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,072 : 76,005.84 = 32,716 : x
  2. Step 2: Convert to fraction form
    55,072/76,005.84 = 32,716/x
  3. Step 3: Cross multiply
    55,072x = 76,005.84 × 32,716
  4. Step 4: Simplify right side
    55,072x = 2,486,607,061.44
  5. Step 5: Solve for x
    x = 2,486,607,061.44/55,072
  6. Step 6: Final answer
    x = 45,151.93

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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.