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Finding the Fourth Proportional to 65,214.52, 97,834.42 and 27,773.96

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Solution

The fourth proportional to 65,214.52, 97,834.42 and 27,773.96 is: 41,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,214.52 : 97,834.42 = 27,773.96 : x
  2. Step 2: Convert to fraction form
    65,214.52/97,834.42 = 27,773.96/x
  3. Step 3: Cross multiply
    65,214.52x = 97,834.42 × 27,773.96
  4. Step 4: Simplify right side
    65,214.52x = 2,717,249,267.70
  5. Step 5: Solve for x
    x = 2,717,249,267.70/65,214.52
  6. Step 6: Final answer
    x = 41,666.32

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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.