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Finding the Fourth Proportional to 76,787.68, 105,964.32 and 42,795.04

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Solution

The fourth proportional to 76,787.68, 105,964.32 and 42,795.04 is: 59,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787.68 : 105,964.32 = 42,795.04 : x
  2. Step 2: Convert to fraction form
    76,787.68/105,964.32 = 42,795.04/x
  3. Step 3: Cross multiply
    76,787.68x = 105,964.32 × 42,795.04
  4. Step 4: Simplify right side
    76,787.68x = 4,534,747,312.97
  5. Step 5: Solve for x
    x = 4,534,747,312.97/76,787.68
  6. Step 6: Final answer
    x = 59,055.66

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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.