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Finding the Fourth Proportional to 65,296.62, 97,813.71 and 34,066.26

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Solution

The fourth proportional to 65,296.62, 97,813.71 and 34,066.26 is: 51,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,296.62 : 97,813.71 = 34,066.26 : x
  2. Step 2: Convert to fraction form
    65,296.62/97,813.71 = 34,066.26/x
  3. Step 3: Cross multiply
    65,296.62x = 97,813.71 × 34,066.26
  4. Step 4: Simplify right side
    65,296.62x = 3,332,147,276.42
  5. Step 5: Solve for x
    x = 3,332,147,276.42/65,296.62
  6. Step 6: Final answer
    x = 51,030.93

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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.