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Finding the Fourth Proportional to 76,768.74, 105,938.10 and 42,775.47

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Solution

The fourth proportional to 76,768.74, 105,938.10 and 42,775.47 is: 59,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,768.74 : 105,938.10 = 42,775.47 : x
  2. Step 2: Convert to fraction form
    76,768.74/105,938.10 = 42,775.47/x
  3. Step 3: Cross multiply
    76,768.74x = 105,938.10 × 42,775.47
  4. Step 4: Simplify right side
    76,768.74x = 4,531,552,018.41
  5. Step 5: Solve for x
    x = 4,531,552,018.41/76,768.74
  6. Step 6: Final answer
    x = 59,028.61

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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.