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Finding the Fourth Proportional to 55,439.50, 76,509.78 and 31,567.18

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Solution

The fourth proportional to 55,439.50, 76,509.78 and 31,567.18 is: 43,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,439.50 : 76,509.78 = 31,567.18 : x
  2. Step 2: Convert to fraction form
    55,439.50/76,509.78 = 31,567.18/x
  3. Step 3: Cross multiply
    55,439.50x = 76,509.78 × 31,567.18
  4. Step 4: Simplify right side
    55,439.50x = 2,415,197,997.02
  5. Step 5: Solve for x
    x = 2,415,197,997.02/55,439.50
  6. Step 6: Final answer
    x = 43,564.57

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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.