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Finding the Fourth Proportional to 57,005.64, 78,638.04 and 38,139.12

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Solution

The fourth proportional to 57,005.64, 78,638.04 and 38,139.12 is: 52,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,005.64 : 78,638.04 = 38,139.12 : x
  2. Step 2: Convert to fraction form
    57,005.64/78,638.04 = 38,139.12/x
  3. Step 3: Cross multiply
    57,005.64x = 78,638.04 × 38,139.12
  4. Step 4: Simplify right side
    57,005.64x = 2,999,185,644.12
  5. Step 5: Solve for x
    x = 2,999,185,644.12/57,005.64
  6. Step 6: Final answer
    x = 52,612.09

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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.