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Finding the Fourth Proportional to 57,798.20, 86,746.52 and 22,762.46

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Solution

The fourth proportional to 57,798.20, 86,746.52 and 22,762.46 is: 34,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,798.20 : 86,746.52 = 22,762.46 : x
  2. Step 2: Convert to fraction form
    57,798.20/86,746.52 = 22,762.46/x
  3. Step 3: Cross multiply
    57,798.20x = 86,746.52 × 22,762.46
  4. Step 4: Simplify right side
    57,798.20x = 1,974,564,191.64
  5. Step 5: Solve for x
    x = 1,974,564,191.64/57,798.20
  6. Step 6: Final answer
    x = 34,163.07

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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.