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Finding the Fourth Proportional to 27,681.96, 38,124 and 25,903.20

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Solution

The fourth proportional to 27,681.96, 38,124 and 25,903.20 is: 35,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,681.96 : 38,124 = 25,903.20 : x
  2. Step 2: Convert to fraction form
    27,681.96/38,124 = 25,903.20/x
  3. Step 3: Cross multiply
    27,681.96x = 38,124 × 25,903.20
  4. Step 4: Simplify right side
    27,681.96x = 987,533,596.80
  5. Step 5: Solve for x
    x = 987,533,596.80/27,681.96
  6. Step 6: Final answer
    x = 35,674.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.