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Finding the Fourth Proportional to 57,632.04, 86,460.82 and 22,572

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Solution

The fourth proportional to 57,632.04, 86,460.82 and 22,572 is: 33,863.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632.04 : 86,460.82 = 22,572 : x
  2. Step 2: Convert to fraction form
    57,632.04/86,460.82 = 22,572/x
  3. Step 3: Cross multiply
    57,632.04x = 86,460.82 × 22,572
  4. Step 4: Simplify right side
    57,632.04x = 1,951,593,572.61
  5. Step 5: Solve for x
    x = 1,951,593,572.61/57,632.04
  6. Step 6: Final answer
    x = 33,863.00

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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.