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Finding the Fourth Proportional to 58,328, 80,492.64 and 31,832

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Solution

The fourth proportional to 58,328, 80,492.64 and 31,832 is: 43,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,328 : 80,492.64 = 31,832 : x
  2. Step 2: Convert to fraction form
    58,328/80,492.64 = 31,832/x
  3. Step 3: Cross multiply
    58,328x = 80,492.64 × 31,832
  4. Step 4: Simplify right side
    58,328x = 2,562,241,716.48
  5. Step 5: Solve for x
    x = 2,562,241,716.48/58,328
  6. Step 6: Final answer
    x = 43,928.16

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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.