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Finding the Fourth Proportional to 76,783.46, 105,964.46 and 42,792

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Solution

The fourth proportional to 76,783.46, 105,964.46 and 42,792 is: 59,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,783.46 : 105,964.46 = 42,792 : x
  2. Step 2: Convert to fraction form
    76,783.46/105,964.46 = 42,792/x
  3. Step 3: Cross multiply
    76,783.46x = 105,964.46 × 42,792
  4. Step 4: Simplify right side
    76,783.46x = 4,534,431,172.32
  5. Step 5: Solve for x
    x = 4,534,431,172.32/76,783.46
  6. Step 6: Final answer
    x = 59,054.79

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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.