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Finding the Fourth Proportional to 61,242.48, 91,821.92 and 31,182.84

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Solution

The fourth proportional to 61,242.48, 91,821.92 and 31,182.84 is: 46,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,242.48 : 91,821.92 = 31,182.84 : x
  2. Step 2: Convert to fraction form
    61,242.48/91,821.92 = 31,182.84/x
  3. Step 3: Cross multiply
    61,242.48x = 91,821.92 × 31,182.84
  4. Step 4: Simplify right side
    61,242.48x = 2,863,268,239.85
  5. Step 5: Solve for x
    x = 2,863,268,239.85/61,242.48
  6. Step 6: Final answer
    x = 46,752.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.