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Finding the Fourth Proportional to 59,972, 82,768.66 and 34,821.50

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Solution

The fourth proportional to 59,972, 82,768.66 and 34,821.50 is: 48,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,972 : 82,768.66 = 34,821.50 : x
  2. Step 2: Convert to fraction form
    59,972/82,768.66 = 34,821.50/x
  3. Step 3: Cross multiply
    59,972x = 82,768.66 × 34,821.50
  4. Step 4: Simplify right side
    59,972x = 2,882,128,894.19
  5. Step 5: Solve for x
    x = 2,882,128,894.19/59,972
  6. Step 6: Final answer
    x = 48,057.91

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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.