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Finding the Fourth Proportional to 58,350, 80,523 and 31,854

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Solution

The fourth proportional to 58,350, 80,523 and 31,854 is: 43,958.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,350 : 80,523 = 31,854 : x
  2. Step 2: Convert to fraction form
    58,350/80,523 = 31,854/x
  3. Step 3: Cross multiply
    58,350x = 80,523 × 31,854
  4. Step 4: Simplify right side
    58,350x = 2,564,979,642
  5. Step 5: Solve for x
    x = 2,564,979,642/58,350
  6. Step 6: Final answer
    x = 43,958.52

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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.