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Finding the Fourth Proportional to 76,101.66, 105,017.58 and 42,109.56

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Solution

The fourth proportional to 76,101.66, 105,017.58 and 42,109.56 is: 58,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,101.66 : 105,017.58 = 42,109.56 : x
  2. Step 2: Convert to fraction form
    76,101.66/105,017.58 = 42,109.56/x
  3. Step 3: Cross multiply
    76,101.66x = 105,017.58 × 42,109.56
  4. Step 4: Simplify right side
    76,101.66x = 4,422,244,086.06
  5. Step 5: Solve for x
    x = 4,422,244,086.06/76,101.66
  6. Step 6: Final answer
    x = 58,109.69

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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.