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Finding the Fourth Proportional to 64,886.34, 97,324.65 and 18,142.86

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Solution

The fourth proportional to 64,886.34, 97,324.65 and 18,142.86 is: 27,212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,886.34 : 97,324.65 = 18,142.86 : x
  2. Step 2: Convert to fraction form
    64,886.34/97,324.65 = 18,142.86/x
  3. Step 3: Cross multiply
    64,886.34x = 97,324.65 × 18,142.86
  4. Step 4: Simplify right side
    64,886.34x = 1,765,747,499.50
  5. Step 5: Solve for x
    x = 1,765,747,499.50/64,886.34
  6. Step 6: Final answer
    x = 27,212.93

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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.