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Finding the Fourth Proportional to 45,586.50, 62,909.45 and 25,714.50

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Solution

The fourth proportional to 45,586.50, 62,909.45 and 25,714.50 is: 35,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,586.50 : 62,909.45 = 25,714.50 : x
  2. Step 2: Convert to fraction form
    45,586.50/62,909.45 = 25,714.50/x
  3. Step 3: Cross multiply
    45,586.50x = 62,909.45 × 25,714.50
  4. Step 4: Simplify right side
    45,586.50x = 1,617,685,052.03
  5. Step 5: Solve for x
    x = 1,617,685,052.03/45,586.50
  6. Step 6: Final answer
    x = 35,486.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.