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Finding the Fourth Proportional to 55,416.56, 83,119.72 and 22,582

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Solution

The fourth proportional to 55,416.56, 83,119.72 and 22,582 is: 33,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,416.56 : 83,119.72 = 22,582 : x
  2. Step 2: Convert to fraction form
    55,416.56/83,119.72 = 22,582/x
  3. Step 3: Cross multiply
    55,416.56x = 83,119.72 × 22,582
  4. Step 4: Simplify right side
    55,416.56x = 1,877,009,517.04
  5. Step 5: Solve for x
    x = 1,877,009,517.04/55,416.56
  6. Step 6: Final answer
    x = 33,870.91

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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.