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Finding the Fourth Proportional to 105,057.24, 144,991.32 and 59,742.12

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Solution

The fourth proportional to 105,057.24, 144,991.32 and 59,742.12 is: 82,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,057.24 : 144,991.32 = 59,742.12 : x
  2. Step 2: Convert to fraction form
    105,057.24/144,991.32 = 59,742.12/x
  3. Step 3: Cross multiply
    105,057.24x = 144,991.32 × 59,742.12
  4. Step 4: Simplify right side
    105,057.24x = 8,662,088,838.40
  5. Step 5: Solve for x
    x = 8,662,088,838.40/105,057.24
  6. Step 6: Final answer
    x = 82,451.14

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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.