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Finding the Fourth Proportional to 97,806.51, 146,722.05 and 27,685.80

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Solution

The fourth proportional to 97,806.51, 146,722.05 and 27,685.80 is: 41,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.51 : 146,722.05 = 27,685.80 : x
  2. Step 2: Convert to fraction form
    97,806.51/146,722.05 = 27,685.80/x
  3. Step 3: Cross multiply
    97,806.51x = 146,722.05 × 27,685.80
  4. Step 4: Simplify right side
    97,806.51x = 4,062,117,331.89
  5. Step 5: Solve for x
    x = 4,062,117,331.89/97,806.51
  6. Step 6: Final answer
    x = 41,532.18

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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.