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Finding the Fourth Proportional to 55,382.67, 76,421.13 and 31,509.75

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Solution

The fourth proportional to 55,382.67, 76,421.13 and 31,509.75 is: 43,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.67 : 76,421.13 = 31,509.75 : x
  2. Step 2: Convert to fraction form
    55,382.67/76,421.13 = 31,509.75/x
  3. Step 3: Cross multiply
    55,382.67x = 76,421.13 × 31,509.75
  4. Step 4: Simplify right side
    55,382.67x = 2,408,010,701.02
  5. Step 5: Solve for x
    x = 2,408,010,701.02/55,382.67
  6. Step 6: Final answer
    x = 43,479.50

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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.