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Finding the Fourth Proportional to 57,750.30, 86,560.65 and 32,802.30

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Solution

The fourth proportional to 57,750.30, 86,560.65 and 32,802.30 is: 49,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,750.30 : 86,560.65 = 32,802.30 : x
  2. Step 2: Convert to fraction form
    57,750.30/86,560.65 = 32,802.30/x
  3. Step 3: Cross multiply
    57,750.30x = 86,560.65 × 32,802.30
  4. Step 4: Simplify right side
    57,750.30x = 2,839,388,409.50
  5. Step 5: Solve for x
    x = 2,839,388,409.50/57,750.30
  6. Step 6: Final answer
    x = 49,166.64

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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.