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Finding the Fourth Proportional to 38,442.93, 53,051.32 and 21,446.75

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Solution

The fourth proportional to 38,442.93, 53,051.32 and 21,446.75 is: 29,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.93 : 53,051.32 = 21,446.75 : x
  2. Step 2: Convert to fraction form
    38,442.93/53,051.32 = 21,446.75/x
  3. Step 3: Cross multiply
    38,442.93x = 53,051.32 × 21,446.75
  4. Step 4: Simplify right side
    38,442.93x = 1,137,778,078.34
  5. Step 5: Solve for x
    x = 1,137,778,078.34/38,442.93
  6. Step 6: Final answer
    x = 29,596.55

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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.