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Finding the Fourth Proportional to 52,712.87, 72,736.58 and 31,487.63

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Solution

The fourth proportional to 52,712.87, 72,736.58 and 31,487.63 is: 43,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712.87 : 72,736.58 = 31,487.63 : x
  2. Step 2: Convert to fraction form
    52,712.87/72,736.58 = 31,487.63/x
  3. Step 3: Cross multiply
    52,712.87x = 72,736.58 × 31,487.63
  4. Step 4: Simplify right side
    52,712.87x = 2,290,301,997.38
  5. Step 5: Solve for x
    x = 2,290,301,997.38/52,712.87
  6. Step 6: Final answer
    x = 43,448.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.