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Finding the Fourth Proportional to 25,043.56, 37,566.56 and 20,653

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Solution

The fourth proportional to 25,043.56, 37,566.56 and 20,653 is: 30,980.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,043.56 : 37,566.56 = 20,653 : x
  2. Step 2: Convert to fraction form
    25,043.56/37,566.56 = 20,653/x
  3. Step 3: Cross multiply
    25,043.56x = 37,566.56 × 20,653
  4. Step 4: Simplify right side
    25,043.56x = 775,862,060.42
  5. Step 5: Solve for x
    x = 775,862,060.42/25,043.56
  6. Step 6: Final answer
    x = 30,980.50

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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.