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Finding the Fourth Proportional to 76,283.84, 114,428.50 and 31,849.47

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Solution

The fourth proportional to 76,283.84, 114,428.50 and 31,849.47 is: 47,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,283.84 : 114,428.50 = 31,849.47 : x
  2. Step 2: Convert to fraction form
    76,283.84/114,428.50 = 31,849.47/x
  3. Step 3: Cross multiply
    76,283.84x = 114,428.50 × 31,849.47
  4. Step 4: Simplify right side
    76,283.84x = 3,644,486,998.27
  5. Step 5: Solve for x
    x = 3,644,486,998.27/76,283.84
  6. Step 6: Final answer
    x = 47,775.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.