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Finding the Fourth Proportional to 59,807.80, 82,536 and 32,951.44

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Solution

The fourth proportional to 59,807.80, 82,536 and 32,951.44 is: 45,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,807.80 : 82,536 = 32,951.44 : x
  2. Step 2: Convert to fraction form
    59,807.80/82,536 = 32,951.44/x
  3. Step 3: Cross multiply
    59,807.80x = 82,536 × 32,951.44
  4. Step 4: Simplify right side
    59,807.80x = 2,719,680,051.84
  5. Step 5: Solve for x
    x = 2,719,680,051.84/59,807.80
  6. Step 6: Final answer
    x = 45,473.67

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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.