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Finding the Fourth Proportional to 59,138.84, 81,608.16 and 32,276

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Solution

The fourth proportional to 59,138.84, 81,608.16 and 32,276 is: 44,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,138.84 : 81,608.16 = 32,276 : x
  2. Step 2: Convert to fraction form
    59,138.84/81,608.16 = 32,276/x
  3. Step 3: Cross multiply
    59,138.84x = 81,608.16 × 32,276
  4. Step 4: Simplify right side
    59,138.84x = 2,633,984,972.16
  5. Step 5: Solve for x
    x = 2,633,984,972.16/59,138.84
  6. Step 6: Final answer
    x = 44,539.00

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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.