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Finding the Fourth Proportional to 52,380.72, 72,267.03 and 31,157.10

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Solution

The fourth proportional to 52,380.72, 72,267.03 and 31,157.10 is: 42,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,380.72 : 72,267.03 = 31,157.10 : x
  2. Step 2: Convert to fraction form
    52,380.72/72,267.03 = 31,157.10/x
  3. Step 3: Cross multiply
    52,380.72x = 72,267.03 × 31,157.10
  4. Step 4: Simplify right side
    52,380.72x = 2,251,631,080.41
  5. Step 5: Solve for x
    x = 2,251,631,080.41/52,380.72
  6. Step 6: Final answer
    x = 42,985.87

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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.