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Finding the Fourth Proportional to 38,489.94, 53,113.09 and 21,492.85

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Solution

The fourth proportional to 38,489.94, 53,113.09 and 21,492.85 is: 29,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,489.94 : 53,113.09 = 21,492.85 : x
  2. Step 2: Convert to fraction form
    38,489.94/53,113.09 = 21,492.85/x
  3. Step 3: Cross multiply
    38,489.94x = 53,113.09 × 21,492.85
  4. Step 4: Simplify right side
    38,489.94x = 1,141,551,768.12
  5. Step 5: Solve for x
    x = 1,141,551,768.12/38,489.94
  6. Step 6: Final answer
    x = 29,658.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.