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Finding the Fourth Proportional to 55,095.66, 82,610.64 and 21,820.50

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Solution

The fourth proportional to 55,095.66, 82,610.64 and 21,820.50 is: 32,717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,095.66 : 82,610.64 = 21,820.50 : x
  2. Step 2: Convert to fraction form
    55,095.66/82,610.64 = 21,820.50/x
  3. Step 3: Cross multiply
    55,095.66x = 82,610.64 × 21,820.50
  4. Step 4: Simplify right side
    55,095.66x = 1,802,605,470.12
  5. Step 5: Solve for x
    x = 1,802,605,470.12/55,095.66
  6. Step 6: Final answer
    x = 32,717.74

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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.