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Finding the Fourth Proportional to 57,802.80, 86,716.80 and 32,854.80

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Solution

The fourth proportional to 57,802.80, 86,716.80 and 32,854.80 is: 49,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.80 : 86,716.80 = 32,854.80 : x
  2. Step 2: Convert to fraction form
    57,802.80/86,716.80 = 32,854.80/x
  3. Step 3: Cross multiply
    57,802.80x = 86,716.80 × 32,854.80
  4. Step 4: Simplify right side
    57,802.80x = 2,849,063,120.64
  5. Step 5: Solve for x
    x = 2,849,063,120.64/57,802.80
  6. Step 6: Final answer
    x = 49,289.36

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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.