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Finding the Fourth Proportional to 97,672.30, 146,512.77 and 31,117.30

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Solution

The fourth proportional to 97,672.30, 146,512.77 and 31,117.30 is: 46,677.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.30 : 146,512.77 = 31,117.30 : x
  2. Step 2: Convert to fraction form
    97,672.30/146,512.77 = 31,117.30/x
  3. Step 3: Cross multiply
    97,672.30x = 146,512.77 × 31,117.30
  4. Step 4: Simplify right side
    97,672.30x = 4,559,081,817.92
  5. Step 5: Solve for x
    x = 4,559,081,817.92/97,672.30
  6. Step 6: Final answer
    x = 46,677.33

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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.