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Finding the Fourth Proportional to 37,143.72, 55,725.36 and 18,423

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Solution

The fourth proportional to 37,143.72, 55,725.36 and 18,423 is: 27,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,143.72 : 55,725.36 = 18,423 : x
  2. Step 2: Convert to fraction form
    37,143.72/55,725.36 = 18,423/x
  3. Step 3: Cross multiply
    37,143.72x = 55,725.36 × 18,423
  4. Step 4: Simplify right side
    37,143.72x = 1,026,628,307.28
  5. Step 5: Solve for x
    x = 1,026,628,307.28/37,143.72
  6. Step 6: Final answer
    x = 27,639.35

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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.