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Finding the Fourth Proportional to 75,123.46, 103,676.12 and 42,858.78

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Solution

The fourth proportional to 75,123.46, 103,676.12 and 42,858.78 is: 59,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123.46 : 103,676.12 = 42,858.78 : x
  2. Step 2: Convert to fraction form
    75,123.46/103,676.12 = 42,858.78/x
  3. Step 3: Cross multiply
    75,123.46x = 103,676.12 × 42,858.78
  4. Step 4: Simplify right side
    75,123.46x = 4,443,432,018.33
  5. Step 5: Solve for x
    x = 4,443,432,018.33/75,123.46
  6. Step 6: Final answer
    x = 59,148.39

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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.