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Finding the Fourth Proportional to 27,492.99, 37,938.02 and 16,162.86

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Solution

The fourth proportional to 27,492.99, 37,938.02 and 16,162.86 is: 22,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,492.99 : 37,938.02 = 16,162.86 : x
  2. Step 2: Convert to fraction form
    27,492.99/37,938.02 = 16,162.86/x
  3. Step 3: Cross multiply
    27,492.99x = 37,938.02 × 16,162.86
  4. Step 4: Simplify right side
    27,492.99x = 613,186,825.12
  5. Step 5: Solve for x
    x = 613,186,825.12/27,492.99
  6. Step 6: Final answer
    x = 22,303.39

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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.