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Finding the Fourth Proportional to 58,383, 80,570.46 and 31,887

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Solution

The fourth proportional to 58,383, 80,570.46 and 31,887 is: 44,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,383 : 80,570.46 = 31,887 : x
  2. Step 2: Convert to fraction form
    58,383/80,570.46 = 31,887/x
  3. Step 3: Cross multiply
    58,383x = 80,570.46 × 31,887
  4. Step 4: Simplify right side
    58,383x = 2,569,150,258.02
  5. Step 5: Solve for x
    x = 2,569,150,258.02/58,383
  6. Step 6: Final answer
    x = 44,005.11

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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.