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Finding the Fourth Proportional to 38,492.68, 53,108.29 and 22,356.88

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Solution

The fourth proportional to 38,492.68, 53,108.29 and 22,356.88 is: 30,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,492.68 : 53,108.29 = 22,356.88 : x
  2. Step 2: Convert to fraction form
    38,492.68/53,108.29 = 22,356.88/x
  3. Step 3: Cross multiply
    38,492.68x = 53,108.29 × 22,356.88
  4. Step 4: Simplify right side
    38,492.68x = 1,187,335,400.99
  5. Step 5: Solve for x
    x = 1,187,335,400.99/38,492.68
  6. Step 6: Final answer
    x = 30,845.75

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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.