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Finding the Fourth Proportional to 102,013.62, 153,032.07 and 27,136.81

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Solution

The fourth proportional to 102,013.62, 153,032.07 and 27,136.81 is: 40,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.62 : 153,032.07 = 27,136.81 : x
  2. Step 2: Convert to fraction form
    102,013.62/153,032.07 = 27,136.81/x
  3. Step 3: Cross multiply
    102,013.62x = 153,032.07 × 27,136.81
  4. Step 4: Simplify right side
    102,013.62x = 4,152,802,207.50
  5. Step 5: Solve for x
    x = 4,152,802,207.50/102,013.62
  6. Step 6: Final answer
    x = 40,708.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.