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Finding the Fourth Proportional to 58,713, 81,023.94 and 32,217

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Solution

The fourth proportional to 58,713, 81,023.94 and 32,217 is: 44,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,713 : 81,023.94 = 32,217 : x
  2. Step 2: Convert to fraction form
    58,713/81,023.94 = 32,217/x
  3. Step 3: Cross multiply
    58,713x = 81,023.94 × 32,217
  4. Step 4: Simplify right side
    58,713x = 2,610,348,274.98
  5. Step 5: Solve for x
    x = 2,610,348,274.98/58,713
  6. Step 6: Final answer
    x = 44,459.46

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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.