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Finding the Fourth Proportional to 59,657.94, 82,328 and 32,800.91

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Solution

The fourth proportional to 59,657.94, 82,328 and 32,800.91 is: 45,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,657.94 : 82,328 = 32,800.91 : x
  2. Step 2: Convert to fraction form
    59,657.94/82,328 = 32,800.91/x
  3. Step 3: Cross multiply
    59,657.94x = 82,328 × 32,800.91
  4. Step 4: Simplify right side
    59,657.94x = 2,700,433,318.48
  5. Step 5: Solve for x
    x = 2,700,433,318.48/59,657.94
  6. Step 6: Final answer
    x = 45,265.28

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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.