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Finding the Fourth Proportional to 52,607.88, 72,586.98 and 31,383

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Solution

The fourth proportional to 52,607.88, 72,586.98 and 31,383 is: 43,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,607.88 : 72,586.98 = 31,383 : x
  2. Step 2: Convert to fraction form
    52,607.88/72,586.98 = 31,383/x
  3. Step 3: Cross multiply
    52,607.88x = 72,586.98 × 31,383
  4. Step 4: Simplify right side
    52,607.88x = 2,277,997,193.34
  5. Step 5: Solve for x
    x = 2,277,997,193.34/52,607.88
  6. Step 6: Final answer
    x = 43,301.44

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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.