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Finding the Fourth Proportional to 42,684.96, 58,902.01 and 24,777.08

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Solution

The fourth proportional to 42,684.96, 58,902.01 and 24,777.08 is: 34,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,684.96 : 58,902.01 = 24,777.08 : x
  2. Step 2: Convert to fraction form
    42,684.96/58,902.01 = 24,777.08/x
  3. Step 3: Cross multiply
    42,684.96x = 58,902.01 × 24,777.08
  4. Step 4: Simplify right side
    42,684.96x = 1,459,419,813.93
  5. Step 5: Solve for x
    x = 1,459,419,813.93/42,684.96
  6. Step 6: Final answer
    x = 34,190.49

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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.