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Finding the Fourth Proportional to 53,602.60, 80,324.70 and 38,842.60

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Solution

The fourth proportional to 53,602.60, 80,324.70 and 38,842.60 is: 58,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.60 : 80,324.70 = 38,842.60 : x
  2. Step 2: Convert to fraction form
    53,602.60/80,324.70 = 38,842.60/x
  3. Step 3: Cross multiply
    53,602.60x = 80,324.70 × 38,842.60
  4. Step 4: Simplify right side
    53,602.60x = 3,120,020,192.22
  5. Step 5: Solve for x
    x = 3,120,020,192.22/53,602.60
  6. Step 6: Final answer
    x = 58,206.51

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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.