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Finding the Fourth Proportional to 55,258.46, 82,887.60 and 13,705.46

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Solution

The fourth proportional to 55,258.46, 82,887.60 and 13,705.46 is: 20,558.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,258.46 : 82,887.60 = 13,705.46 : x
  2. Step 2: Convert to fraction form
    55,258.46/82,887.60 = 13,705.46/x
  3. Step 3: Cross multiply
    55,258.46x = 82,887.60 × 13,705.46
  4. Step 4: Simplify right side
    55,258.46x = 1,136,012,686.30
  5. Step 5: Solve for x
    x = 1,136,012,686.30/55,258.46
  6. Step 6: Final answer
    x = 20,558.17

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Why These Related Problems?

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