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Finding the Fourth Proportional to 76,766.88, 105,938.04 and 42,776.82

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Solution

The fourth proportional to 76,766.88, 105,938.04 and 42,776.82 is: 59,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,766.88 : 105,938.04 = 42,776.82 : x
  2. Step 2: Convert to fraction form
    76,766.88/105,938.04 = 42,776.82/x
  3. Step 3: Cross multiply
    76,766.88x = 105,938.04 × 42,776.82
  4. Step 4: Simplify right side
    76,766.88x = 4,531,692,468.23
  5. Step 5: Solve for x
    x = 4,531,692,468.23/76,766.88
  6. Step 6: Final answer
    x = 59,031.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.