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Finding the Fourth Proportional to 76,787.51, 105,952.74 and 42,795.14

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Solution

The fourth proportional to 76,787.51, 105,952.74 and 42,795.14 is: 59,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787.51 : 105,952.74 = 42,795.14 : x
  2. Step 2: Convert to fraction form
    76,787.51/105,952.74 = 42,795.14/x
  3. Step 3: Cross multiply
    76,787.51x = 105,952.74 × 42,795.14
  4. Step 4: Simplify right side
    76,787.51x = 4,534,262,341.68
  5. Step 5: Solve for x
    x = 4,534,262,341.68/76,787.51
  6. Step 6: Final answer
    x = 59,049.48

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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.