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Finding the Fourth Proportional to 51,823.62, 71,518.86 and 30,602.94

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Solution

The fourth proportional to 51,823.62, 71,518.86 and 30,602.94 is: 42,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,823.62 : 71,518.86 = 30,602.94 : x
  2. Step 2: Convert to fraction form
    51,823.62/71,518.86 = 30,602.94/x
  3. Step 3: Cross multiply
    51,823.62x = 71,518.86 × 30,602.94
  4. Step 4: Simplify right side
    51,823.62x = 2,188,687,381.45
  5. Step 5: Solve for x
    x = 2,188,687,381.45/51,823.62
  6. Step 6: Final answer
    x = 42,233.39

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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.