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Finding the Fourth Proportional to 57,547.40, 86,342.70 and 22,512.20

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Solution

The fourth proportional to 57,547.40, 86,342.70 and 22,512.20 is: 33,776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,547.40 : 86,342.70 = 22,512.20 : x
  2. Step 2: Convert to fraction form
    57,547.40/86,342.70 = 22,512.20/x
  3. Step 3: Cross multiply
    57,547.40x = 86,342.70 × 22,512.20
  4. Step 4: Simplify right side
    57,547.40x = 1,943,764,130.94
  5. Step 5: Solve for x
    x = 1,943,764,130.94/57,547.40
  6. Step 6: Final answer
    x = 33,776.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.