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Finding the Fourth Proportional to 55,384.32, 83,088 and 24,211.20

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Solution

The fourth proportional to 55,384.32, 83,088 and 24,211.20 is: 36,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,384.32 : 83,088 = 24,211.20 : x
  2. Step 2: Convert to fraction form
    55,384.32/83,088 = 24,211.20/x
  3. Step 3: Cross multiply
    55,384.32x = 83,088 × 24,211.20
  4. Step 4: Simplify right side
    55,384.32x = 2,011,660,185.60
  5. Step 5: Solve for x
    x = 2,011,660,185.60/55,384.32
  6. Step 6: Final answer
    x = 36,321.84

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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.