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Finding the Fourth Proportional to 58,827.88, 81,182.82 and 31,970.44

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Solution

The fourth proportional to 58,827.88, 81,182.82 and 31,970.44 is: 44,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,827.88 : 81,182.82 = 31,970.44 : x
  2. Step 2: Convert to fraction form
    58,827.88/81,182.82 = 31,970.44/x
  3. Step 3: Cross multiply
    58,827.88x = 81,182.82 × 31,970.44
  4. Step 4: Simplify right side
    58,827.88x = 2,595,450,475.84
  5. Step 5: Solve for x
    x = 2,595,450,475.84/58,827.88
  6. Step 6: Final answer
    x = 44,119.40

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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.