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Finding the Fourth Proportional to 55,362, 83,043.76 and 18,426

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Solution

The fourth proportional to 55,362, 83,043.76 and 18,426 is: 27,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,362 : 83,043.76 = 18,426 : x
  2. Step 2: Convert to fraction form
    55,362/83,043.76 = 18,426/x
  3. Step 3: Cross multiply
    55,362x = 83,043.76 × 18,426
  4. Step 4: Simplify right side
    55,362x = 1,530,164,321.76
  5. Step 5: Solve for x
    x = 1,530,164,321.76/55,362
  6. Step 6: Final answer
    x = 27,639.25

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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.