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Finding the Fourth Proportional to 59,636.54, 82,213.71 and 47,430

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Solution

The fourth proportional to 59,636.54, 82,213.71 and 47,430 is: 65,386.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636.54 : 82,213.71 = 47,430 : x
  2. Step 2: Convert to fraction form
    59,636.54/82,213.71 = 47,430/x
  3. Step 3: Cross multiply
    59,636.54x = 82,213.71 × 47,430
  4. Step 4: Simplify right side
    59,636.54x = 3,899,396,265.30
  5. Step 5: Solve for x
    x = 3,899,396,265.30/59,636.54
  6. Step 6: Final answer
    x = 65,386.03

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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.