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Finding the Fourth Proportional to 78,134.96, 107,826.36 and 42,325.28

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Solution

The fourth proportional to 78,134.96, 107,826.36 and 42,325.28 is: 58,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,134.96 : 107,826.36 = 42,325.28 : x
  2. Step 2: Convert to fraction form
    78,134.96/107,826.36 = 42,325.28/x
  3. Step 3: Cross multiply
    78,134.96x = 107,826.36 × 42,325.28
  4. Step 4: Simplify right side
    78,134.96x = 4,563,780,878.38
  5. Step 5: Solve for x
    x = 4,563,780,878.38/78,134.96
  6. Step 6: Final answer
    x = 58,408.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.