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Finding the Fourth Proportional to 55,164, 82,762.32 and 31,807.20

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Solution

The fourth proportional to 55,164, 82,762.32 and 31,807.20 is: 47,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,164 : 82,762.32 = 31,807.20 : x
  2. Step 2: Convert to fraction form
    55,164/82,762.32 = 31,807.20/x
  3. Step 3: Cross multiply
    55,164x = 82,762.32 × 31,807.20
  4. Step 4: Simplify right side
    55,164x = 2,632,437,664.70
  5. Step 5: Solve for x
    x = 2,632,437,664.70/55,164
  6. Step 6: Final answer
    x = 47,720.21

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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.