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Finding the Fourth Proportional to 77,053.30, 115,580.31 and 32,668.90

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Solution

The fourth proportional to 77,053.30, 115,580.31 and 32,668.90 is: 49,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,053.30 : 115,580.31 = 32,668.90 : x
  2. Step 2: Convert to fraction form
    77,053.30/115,580.31 = 32,668.90/x
  3. Step 3: Cross multiply
    77,053.30x = 115,580.31 × 32,668.90
  4. Step 4: Simplify right side
    77,053.30x = 3,775,881,589.36
  5. Step 5: Solve for x
    x = 3,775,881,589.36/77,053.30
  6. Step 6: Final answer
    x = 49,003.50

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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.