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Finding the Fourth Proportional to 55,415.30, 83,098.65 and 22,124.30

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Solution

The fourth proportional to 55,415.30, 83,098.65 and 22,124.30 is: 33,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,415.30 : 83,098.65 = 22,124.30 : x
  2. Step 2: Convert to fraction form
    55,415.30/83,098.65 = 22,124.30/x
  3. Step 3: Cross multiply
    55,415.30x = 83,098.65 × 22,124.30
  4. Step 4: Simplify right side
    55,415.30x = 1,838,499,462.20
  5. Step 5: Solve for x
    x = 1,838,499,462.20/55,415.30
  6. Step 6: Final answer
    x = 33,176.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.