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Finding the Fourth Proportional to 78,134.10, 107,825.04 and 42,324.09

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Solution

The fourth proportional to 78,134.10, 107,825.04 and 42,324.09 is: 58,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.10 : 107,825.04 = 42,324.09 : x
  2. Step 2: Convert to fraction form
    78,134.10/107,825.04 = 42,324.09/x
  3. Step 3: Cross multiply
    78,134.10x = 107,825.04 × 42,324.09
  4. Step 4: Simplify right side
    78,134.10x = 4,563,596,697.21
  5. Step 5: Solve for x
    x = 4,563,596,697.21/78,134.10
  6. Step 6: Final answer
    x = 58,407.23

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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.