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Finding the Fourth Proportional to 82,283, 123,424.90 and 19,953.50

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Solution

The fourth proportional to 82,283, 123,424.90 and 19,953.50 is: 29,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,283 : 123,424.90 = 19,953.50 : x
  2. Step 2: Convert to fraction form
    82,283/123,424.90 = 19,953.50/x
  3. Step 3: Cross multiply
    82,283x = 123,424.90 × 19,953.50
  4. Step 4: Simplify right side
    82,283x = 2,462,758,742.15
  5. Step 5: Solve for x
    x = 2,462,758,742.15/82,283
  6. Step 6: Final answer
    x = 29,930.35

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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.