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Finding the Fourth Proportional to 65,107.56, 97,666.20 and 27,663.40

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Solution

The fourth proportional to 65,107.56, 97,666.20 and 27,663.40 is: 41,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,107.56 : 97,666.20 = 27,663.40 : x
  2. Step 2: Convert to fraction form
    65,107.56/97,666.20 = 27,663.40/x
  3. Step 3: Cross multiply
    65,107.56x = 97,666.20 × 27,663.40
  4. Step 4: Simplify right side
    65,107.56x = 2,701,779,157.08
  5. Step 5: Solve for x
    x = 2,701,779,157.08/65,107.56
  6. Step 6: Final answer
    x = 41,497.16

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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.