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Finding the Fourth Proportional to 38,038.32, 57,051 and 14,664.96

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Solution

The fourth proportional to 38,038.32, 57,051 and 14,664.96 is: 21,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.32 : 57,051 = 14,664.96 : x
  2. Step 2: Convert to fraction form
    38,038.32/57,051 = 14,664.96/x
  3. Step 3: Cross multiply
    38,038.32x = 57,051 × 14,664.96
  4. Step 4: Simplify right side
    38,038.32x = 836,650,632.96
  5. Step 5: Solve for x
    x = 836,650,632.96/38,038.32
  6. Step 6: Final answer
    x = 21,994.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.