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Finding the Fourth Proportional to 42,096.68, 58,096.50 and 24,196.04

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Solution

The fourth proportional to 42,096.68, 58,096.50 and 24,196.04 is: 33,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,096.68 : 58,096.50 = 24,196.04 : x
  2. Step 2: Convert to fraction form
    42,096.68/58,096.50 = 24,196.04/x
  3. Step 3: Cross multiply
    42,096.68x = 58,096.50 × 24,196.04
  4. Step 4: Simplify right side
    42,096.68x = 1,405,705,237.86
  5. Step 5: Solve for x
    x = 1,405,705,237.86/42,096.68
  6. Step 6: Final answer
    x = 33,392.31

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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.