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Finding the Fourth Proportional to 59,769.36, 82,460.16 and 39,636

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Solution

The fourth proportional to 59,769.36, 82,460.16 and 39,636 is: 54,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,769.36 : 82,460.16 = 39,636 : x
  2. Step 2: Convert to fraction form
    59,769.36/82,460.16 = 39,636/x
  3. Step 3: Cross multiply
    59,769.36x = 82,460.16 × 39,636
  4. Step 4: Simplify right side
    59,769.36x = 3,268,390,901.76
  5. Step 5: Solve for x
    x = 3,268,390,901.76/59,769.36
  6. Step 6: Final answer
    x = 54,683.38

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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.