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Finding the Fourth Proportional to 52,783.20, 72,829.10 and 31,262.21

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Solution

The fourth proportional to 52,783.20, 72,829.10 and 31,262.21 is: 43,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,783.20 : 72,829.10 = 31,262.21 : x
  2. Step 2: Convert to fraction form
    52,783.20/72,829.10 = 31,262.21/x
  3. Step 3: Cross multiply
    52,783.20x = 72,829.10 × 31,262.21
  4. Step 4: Simplify right side
    52,783.20x = 2,276,798,097.85
  5. Step 5: Solve for x
    x = 2,276,798,097.85/52,783.20
  6. Step 6: Final answer
    x = 43,134.90

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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.