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Finding the Fourth Proportional to 55,642.32, 76,763.88 and 31,764.24

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Solution

The fourth proportional to 55,642.32, 76,763.88 and 31,764.24 is: 43,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,642.32 : 76,763.88 = 31,764.24 : x
  2. Step 2: Convert to fraction form
    55,642.32/76,763.88 = 31,764.24/x
  3. Step 3: Cross multiply
    55,642.32x = 76,763.88 × 31,764.24
  4. Step 4: Simplify right side
    55,642.32x = 2,438,346,307.65
  5. Step 5: Solve for x
    x = 2,438,346,307.65/55,642.32
  6. Step 6: Final answer
    x = 43,821.79

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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.