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Finding the Fourth Proportional to 36,580.68, 54,813.36 and 28,281

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Solution

The fourth proportional to 36,580.68, 54,813.36 and 28,281 is: 42,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580.68 : 54,813.36 = 28,281 : x
  2. Step 2: Convert to fraction form
    36,580.68/54,813.36 = 28,281/x
  3. Step 3: Cross multiply
    36,580.68x = 54,813.36 × 28,281
  4. Step 4: Simplify right side
    36,580.68x = 1,550,176,634.16
  5. Step 5: Solve for x
    x = 1,550,176,634.16/36,580.68
  6. Step 6: Final answer
    x = 42,376.92

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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.