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Finding the Fourth Proportional to 75,207.20, 103,784.16 and 41,214.56

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Solution

The fourth proportional to 75,207.20, 103,784.16 and 41,214.56 is: 56,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,207.20 : 103,784.16 = 41,214.56 : x
  2. Step 2: Convert to fraction form
    75,207.20/103,784.16 = 41,214.56/x
  3. Step 3: Cross multiply
    75,207.20x = 103,784.16 × 41,214.56
  4. Step 4: Simplify right side
    75,207.20x = 4,277,418,489.37
  5. Step 5: Solve for x
    x = 4,277,418,489.37/75,207.20
  6. Step 6: Final answer
    x = 56,875.12

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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.