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Finding the Fourth Proportional to 38,408.08, 53,000.94 and 21,411.40

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Solution

The fourth proportional to 38,408.08, 53,000.94 and 21,411.40 is: 29,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,408.08 : 53,000.94 = 21,411.40 : x
  2. Step 2: Convert to fraction form
    38,408.08/53,000.94 = 21,411.40/x
  3. Step 3: Cross multiply
    38,408.08x = 53,000.94 × 21,411.40
  4. Step 4: Simplify right side
    38,408.08x = 1,134,824,326.72
  5. Step 5: Solve for x
    x = 1,134,824,326.72/38,408.08
  6. Step 6: Final answer
    x = 29,546.50

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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.