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Finding the Fourth Proportional to 76,710.84, 105,854.22 and 42,716.76

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Solution

The fourth proportional to 76,710.84, 105,854.22 and 42,716.76 is: 58,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,710.84 : 105,854.22 = 42,716.76 : x
  2. Step 2: Convert to fraction form
    76,710.84/105,854.22 = 42,716.76/x
  3. Step 3: Cross multiply
    76,710.84x = 105,854.22 × 42,716.76
  4. Step 4: Simplify right side
    76,710.84x = 4,521,749,310.73
  5. Step 5: Solve for x
    x = 4,521,749,310.73/76,710.84
  6. Step 6: Final answer
    x = 58,945.38

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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.