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Finding the Fourth Proportional to 38,684.64, 53,389.12 and 22,773.04

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Solution

The fourth proportional to 38,684.64, 53,389.12 and 22,773.04 is: 31,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,684.64 : 53,389.12 = 22,773.04 : x
  2. Step 2: Convert to fraction form
    38,684.64/53,389.12 = 22,773.04/x
  3. Step 3: Cross multiply
    38,684.64x = 53,389.12 × 22,773.04
  4. Step 4: Simplify right side
    38,684.64x = 1,215,832,565.32
  5. Step 5: Solve for x
    x = 1,215,832,565.32/38,684.64
  6. Step 6: Final answer
    x = 31,429.34

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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.