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Finding the Fourth Proportional to 42,477, 58,531.82 and 32,858.46

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Solution

The fourth proportional to 42,477, 58,531.82 and 32,858.46 is: 45,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477 : 58,531.82 = 32,858.46 : x
  2. Step 2: Convert to fraction form
    42,477/58,531.82 = 32,858.46/x
  3. Step 3: Cross multiply
    42,477x = 58,531.82 × 32,858.46
  4. Step 4: Simplify right side
    42,477x = 1,923,265,301.90
  5. Step 5: Solve for x
    x = 1,923,265,301.90/42,477
  6. Step 6: Final answer
    x = 45,277.80

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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.