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Finding the Fourth Proportional to 76,224.13, 105,189.29 and 42,690.13

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Solution

The fourth proportional to 76,224.13, 105,189.29 and 42,690.13 is: 58,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224.13 : 105,189.29 = 42,690.13 : x
  2. Step 2: Convert to fraction form
    76,224.13/105,189.29 = 42,690.13/x
  3. Step 3: Cross multiply
    76,224.13x = 105,189.29 × 42,690.13
  4. Step 4: Simplify right side
    76,224.13x = 4,490,544,464.71
  5. Step 5: Solve for x
    x = 4,490,544,464.71/76,224.13
  6. Step 6: Final answer
    x = 58,912.37

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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.