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Finding the Fourth Proportional to 57,866.49, 79,856.10 and 33,681.81

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Solution

The fourth proportional to 57,866.49, 79,856.10 and 33,681.81 is: 46,481.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,866.49 : 79,856.10 = 33,681.81 : x
  2. Step 2: Convert to fraction form
    57,866.49/79,856.10 = 33,681.81/x
  3. Step 3: Cross multiply
    57,866.49x = 79,856.10 × 33,681.81
  4. Step 4: Simplify right side
    57,866.49x = 2,689,697,987.54
  5. Step 5: Solve for x
    x = 2,689,697,987.54/57,866.49
  6. Step 6: Final answer
    x = 46,481.10

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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.