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Finding the Fourth Proportional to 55,071.36, 82,606.32 and 13,518

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Solution

The fourth proportional to 55,071.36, 82,606.32 and 13,518 is: 20,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071.36 : 82,606.32 = 13,518 : x
  2. Step 2: Convert to fraction form
    55,071.36/82,606.32 = 13,518/x
  3. Step 3: Cross multiply
    55,071.36x = 82,606.32 × 13,518
  4. Step 4: Simplify right side
    55,071.36x = 1,116,672,233.76
  5. Step 5: Solve for x
    x = 1,116,672,233.76/55,071.36
  6. Step 6: Final answer
    x = 20,276.82

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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.