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Finding the Fourth Proportional to 55,336.98, 76,359.90 and 31,459

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Solution

The fourth proportional to 55,336.98, 76,359.90 and 31,459 is: 43,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,336.98 : 76,359.90 = 31,459 : x
  2. Step 2: Convert to fraction form
    55,336.98/76,359.90 = 31,459/x
  3. Step 3: Cross multiply
    55,336.98x = 76,359.90 × 31,459
  4. Step 4: Simplify right side
    55,336.98x = 2,402,206,094.10
  5. Step 5: Solve for x
    x = 2,402,206,094.10/55,336.98
  6. Step 6: Final answer
    x = 43,410.50

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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.