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Finding the Fourth Proportional to 72,997.29, 109,461.87 and 37,927.53

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Solution

The fourth proportional to 72,997.29, 109,461.87 and 37,927.53 is: 56,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997.29 : 109,461.87 = 37,927.53 : x
  2. Step 2: Convert to fraction form
    72,997.29/109,461.87 = 37,927.53/x
  3. Step 3: Cross multiply
    72,997.29x = 109,461.87 × 37,927.53
  4. Step 4: Simplify right side
    72,997.29x = 4,151,618,358.28
  5. Step 5: Solve for x
    x = 4,151,618,358.28/72,997.29
  6. Step 6: Final answer
    x = 56,873.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.