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Finding the Fourth Proportional to 76,205.41, 105,364.13 and 66,746.84

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Solution

The fourth proportional to 76,205.41, 105,364.13 and 66,746.84 is: 92,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.41 : 105,364.13 = 66,746.84 : x
  2. Step 2: Convert to fraction form
    76,205.41/105,364.13 = 66,746.84/x
  3. Step 3: Cross multiply
    76,205.41x = 105,364.13 × 66,746.84
  4. Step 4: Simplify right side
    76,205.41x = 7,032,721,866.29
  5. Step 5: Solve for x
    x = 7,032,721,866.29/76,205.41
  6. Step 6: Final answer
    x = 92,286.39

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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.