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Finding the Fourth Proportional to 38,774.34, 53,495.37 and 23,662.98

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Solution

The fourth proportional to 38,774.34, 53,495.37 and 23,662.98 is: 32,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774.34 : 53,495.37 = 23,662.98 : x
  2. Step 2: Convert to fraction form
    38,774.34/53,495.37 = 23,662.98/x
  3. Step 3: Cross multiply
    38,774.34x = 53,495.37 × 23,662.98
  4. Step 4: Simplify right side
    38,774.34x = 1,265,859,870.40
  5. Step 5: Solve for x
    x = 1,265,859,870.40/38,774.34
  6. Step 6: Final answer
    x = 32,646.85

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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.