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Finding the Fourth Proportional to 55,011.76, 82,529.62 and 31,330.50

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Solution

The fourth proportional to 55,011.76, 82,529.62 and 31,330.50 is: 47,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,011.76 : 82,529.62 = 31,330.50 : x
  2. Step 2: Convert to fraction form
    55,011.76/82,529.62 = 31,330.50/x
  3. Step 3: Cross multiply
    55,011.76x = 82,529.62 × 31,330.50
  4. Step 4: Simplify right side
    55,011.76x = 2,585,694,259.41
  5. Step 5: Solve for x
    x = 2,585,694,259.41/55,011.76
  6. Step 6: Final answer
    x = 47,002.57

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