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Finding the Fourth Proportional to 65,339.88, 97,983.43 and 25,337.80

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Solution

The fourth proportional to 65,339.88, 97,983.43 and 25,337.80 is: 37,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,339.88 : 97,983.43 = 25,337.80 : x
  2. Step 2: Convert to fraction form
    65,339.88/97,983.43 = 25,337.80/x
  3. Step 3: Cross multiply
    65,339.88x = 97,983.43 × 25,337.80
  4. Step 4: Simplify right side
    65,339.88x = 2,482,684,244.35
  5. Step 5: Solve for x
    x = 2,482,684,244.35/65,339.88
  6. Step 6: Final answer
    x = 37,996.46

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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.