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Finding the Fourth Proportional to 36,291.84, 54,458.76 and 15,230

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Solution

The fourth proportional to 36,291.84, 54,458.76 and 15,230 is: 22,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,291.84 : 54,458.76 = 15,230 : x
  2. Step 2: Convert to fraction form
    36,291.84/54,458.76 = 15,230/x
  3. Step 3: Cross multiply
    36,291.84x = 54,458.76 × 15,230
  4. Step 4: Simplify right side
    36,291.84x = 829,406,914.80
  5. Step 5: Solve for x
    x = 829,406,914.80/36,291.84
  6. Step 6: Final answer
    x = 22,853.81

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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.