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Finding the Fourth Proportional to 65,051.70, 97,595.91 and 18,304.98

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Solution

The fourth proportional to 65,051.70, 97,595.91 and 18,304.98 is: 27,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051.70 : 97,595.91 = 18,304.98 : x
  2. Step 2: Convert to fraction form
    65,051.70/97,595.91 = 18,304.98/x
  3. Step 3: Cross multiply
    65,051.70x = 97,595.91 × 18,304.98
  4. Step 4: Simplify right side
    65,051.70x = 1,786,491,180.63
  5. Step 5: Solve for x
    x = 1,786,491,180.63/65,051.70
  6. Step 6: Final answer
    x = 27,462.64

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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.