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Finding the Fourth Proportional to 42,357.78, 58,455.81 and 23,494.50

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Solution

The fourth proportional to 42,357.78, 58,455.81 and 23,494.50 is: 32,423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357.78 : 58,455.81 = 23,494.50 : x
  2. Step 2: Convert to fraction form
    42,357.78/58,455.81 = 23,494.50/x
  3. Step 3: Cross multiply
    42,357.78x = 58,455.81 × 23,494.50
  4. Step 4: Simplify right side
    42,357.78x = 1,373,390,028.05
  5. Step 5: Solve for x
    x = 1,373,390,028.05/42,357.78
  6. Step 6: Final answer
    x = 32,423.56

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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.