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Finding the Fourth Proportional to 58,880, 81,255.68 and 32,384

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Solution

The fourth proportional to 58,880, 81,255.68 and 32,384 is: 44,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,880 : 81,255.68 = 32,384 : x
  2. Step 2: Convert to fraction form
    58,880/81,255.68 = 32,384/x
  3. Step 3: Cross multiply
    58,880x = 81,255.68 × 32,384
  4. Step 4: Simplify right side
    58,880x = 2,631,383,941.12
  5. Step 5: Solve for x
    x = 2,631,383,941.12/58,880
  6. Step 6: Final answer
    x = 44,690.62

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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.