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Finding the Fourth Proportional to 65,157.52, 97,748.67 and 22,451.62

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Solution

The fourth proportional to 65,157.52, 97,748.67 and 22,451.62 is: 33,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.52 : 97,748.67 = 22,451.62 : x
  2. Step 2: Convert to fraction form
    65,157.52/97,748.67 = 22,451.62/x
  3. Step 3: Cross multiply
    65,157.52x = 97,748.67 × 22,451.62
  4. Step 4: Simplify right side
    65,157.52x = 2,194,615,994.35
  5. Step 5: Solve for x
    x = 2,194,615,994.35/65,157.52
  6. Step 6: Final answer
    x = 33,681.70

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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.