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Finding the Fourth Proportional to 27,451, 37,882.38 and 14,875.75

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Solution

The fourth proportional to 27,451, 37,882.38 and 14,875.75 is: 20,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451 : 37,882.38 = 14,875.75 : x
  2. Step 2: Convert to fraction form
    27,451/37,882.38 = 14,875.75/x
  3. Step 3: Cross multiply
    27,451x = 37,882.38 × 14,875.75
  4. Step 4: Simplify right side
    27,451x = 563,528,814.29
  5. Step 5: Solve for x
    x = 563,528,814.29/27,451
  6. Step 6: Final answer
    x = 20,528.54

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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.