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Finding the Fourth Proportional to 55,802.92, 77,008.83 and 30,309.38

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Solution

The fourth proportional to 55,802.92, 77,008.83 and 30,309.38 is: 41,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.92 : 77,008.83 = 30,309.38 : x
  2. Step 2: Convert to fraction form
    55,802.92/77,008.83 = 30,309.38/x
  3. Step 3: Cross multiply
    55,802.92x = 77,008.83 × 30,309.38
  4. Step 4: Simplify right side
    55,802.92x = 2,334,089,891.83
  5. Step 5: Solve for x
    x = 2,334,089,891.83/55,802.92
  6. Step 6: Final answer
    x = 41,827.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.