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Finding the Fourth Proportional to 65,172.09, 97,759.96 and 23,046.22

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Solution

The fourth proportional to 65,172.09, 97,759.96 and 23,046.22 is: 34,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.09 : 97,759.96 = 23,046.22 : x
  2. Step 2: Convert to fraction form
    65,172.09/97,759.96 = 23,046.22/x
  3. Step 3: Cross multiply
    65,172.09x = 97,759.96 × 23,046.22
  4. Step 4: Simplify right side
    65,172.09x = 2,252,997,545.35
  5. Step 5: Solve for x
    x = 2,252,997,545.35/65,172.09
  6. Step 6: Final answer
    x = 34,569.98

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1.5x scale

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.