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Finding the Fourth Proportional to 55,009.65, 82,459.80 and 25,375.80

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Solution

The fourth proportional to 55,009.65, 82,459.80 and 25,375.80 is: 38,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009.65 : 82,459.80 = 25,375.80 : x
  2. Step 2: Convert to fraction form
    55,009.65/82,459.80 = 25,375.80/x
  3. Step 3: Cross multiply
    55,009.65x = 82,459.80 × 25,375.80
  4. Step 4: Simplify right side
    55,009.65x = 2,092,483,392.84
  5. Step 5: Solve for x
    x = 2,092,483,392.84/55,009.65
  6. Step 6: Final answer
    x = 38,038.48

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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.