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Finding the Fourth Proportional to 61,118.28, 84,338.64 and 37,242

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Solution

The fourth proportional to 61,118.28, 84,338.64 and 37,242 is: 51,391.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,118.28 : 84,338.64 = 37,242 : x
  2. Step 2: Convert to fraction form
    61,118.28/84,338.64 = 37,242/x
  3. Step 3: Cross multiply
    61,118.28x = 84,338.64 × 37,242
  4. Step 4: Simplify right side
    61,118.28x = 3,140,939,630.88
  5. Step 5: Solve for x
    x = 3,140,939,630.88/61,118.28
  6. Step 6: Final answer
    x = 51,391.17

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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.