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Finding the Fourth Proportional to 38,902.23, 53,702.87 and 24,774.21

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Solution

The fourth proportional to 38,902.23, 53,702.87 and 24,774.21 is: 34,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902.23 : 53,702.87 = 24,774.21 : x
  2. Step 2: Convert to fraction form
    38,902.23/53,702.87 = 24,774.21/x
  3. Step 3: Cross multiply
    38,902.23x = 53,702.87 × 24,774.21
  4. Step 4: Simplify right side
    38,902.23x = 1,330,446,055.11
  5. Step 5: Solve for x
    x = 1,330,446,055.11/38,902.23
  6. Step 6: Final answer
    x = 34,199.74

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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.