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Finding the Fourth Proportional to 38,742.72, 58,114.08 and 11,040

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Solution

The fourth proportional to 38,742.72, 58,114.08 and 11,040 is: 16,560

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742.72 : 58,114.08 = 11,040 : x
  2. Step 2: Convert to fraction form
    38,742.72/58,114.08 = 11,040/x
  3. Step 3: Cross multiply
    38,742.72x = 58,114.08 × 11,040
  4. Step 4: Simplify right side
    38,742.72x = 641,579,443.20
  5. Step 5: Solve for x
    x = 641,579,443.20/38,742.72
  6. Step 6: Final answer
    x = 16,560

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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.