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Finding the Fourth Proportional to 55,461.30, 83,200.14 and 20,398.38

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Solution

The fourth proportional to 55,461.30, 83,200.14 and 20,398.38 is: 30,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461.30 : 83,200.14 = 20,398.38 : x
  2. Step 2: Convert to fraction form
    55,461.30/83,200.14 = 20,398.38/x
  3. Step 3: Cross multiply
    55,461.30x = 83,200.14 × 20,398.38
  4. Step 4: Simplify right side
    55,461.30x = 1,697,148,071.77
  5. Step 5: Solve for x
    x = 1,697,148,071.77/55,461.30
  6. Step 6: Final answer
    x = 30,600.58

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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.